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12812220 = 22325175379
BaseRepresentation
bin110000110111…
…111110111100
3220002221001200
4300313332330
511234442340
61134335500
7213621261
oct60677674
926087050
1012812220
117261013
12435a590
1328678c5
1419b7268
1511d1330
hexc37fbc

12812220 has 144 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 3115008.

The previous prime is 12812197. The next prime is 12812227. The reversal of 12812220 is 2221821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12812193 and 12812202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162141 + ... + 162219.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 212812220 is an apocalyptic number.

12812220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12812220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

12812220 is an abundant number, since it is smaller than the sum of its proper divisors (29644740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12812220 is a wasteful number, since it uses less digits than its factorization.

12812220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12812220 is about 3579.4161535088. The cubic root of 12812220 is about 233.9958359987.

The spelling of 12812220 in words is "twelve million, eight hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 79 85 90 102 106 153 158 159 170 180 204 212 237 255 265 306 316 318 340 395 474 477 510 530 612 636 711 765 790 795 901 948 954 1020 1060 1185 1343 1422 1530 1580 1590 1802 1908 2370 2385 2686 2703 2844 3060 3180 3555 3604 4029 4187 4505 4740 4770 5372 5406 6715 7110 8058 8109 8374 9010 9540 10812 12087 12561 13430 13515 14220 16116 16218 16748 18020 20145 20935 24174 25122 26860 27030 32436 37683 40290 40545 41870 48348 50244 54060 60435 62805 71179 75366 80580 81090 83740 120870 125610 142358 150732 162180 188415 213537 241740 251220 284716 355895 376830 427074 640611 711790 753660 854148 1067685 1281222 1423580 2135370 2562444 3203055 4270740 6406110 12812220