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12012880 = 2451121773
BaseRepresentation
bin101101110100…
…110101010000
3211121022120111
4231310311100
511033403010
61105251104
7204051655
oct55646520
924538514
1012012880
116865500
124033a94
132647b19
141849c2c
1510c458a
hexb74d50

12012880 has 120 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 4055040.

The previous prime is 12012859. The next prime is 12012881. The reversal of 12012880 is 8821021.

12012880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2795584 + 9217296 = 1672^2 + 3036^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164524 + ... + 164596.

Almost surely, 212012880 is an apocalyptic number.

12012880 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 12012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

12012880 is an abundant number, since it is smaller than the sum of its proper divisors (20938136).

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

12012880 is a wasteful number, since it uses less digits than its factorization.

12012880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 12012880 is about 3465.9601844222. The cubic root of 12012880 is about 229.0247298859.

The spelling of 12012880 in words is "twelve million, twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 73 80 85 88 110 121 136 146 170 176 187 220 242 272 292 340 365 374 440 484 584 605 680 730 748 803 880 935 968 1168 1210 1241 1360 1460 1496 1606 1870 1936 2057 2420 2482 2920 2992 3212 3740 4015 4114 4840 4964 5840 6205 6424 7480 8030 8228 8833 9680 9928 10285 12410 12848 13651 14960 16060 16456 17666 19856 20570 24820 27302 32120 32912 35332 41140 44165 49640 54604 64240 68255 70664 82280 88330 99280 109208 136510 141328 150161 164560 176660 218416 273020 300322 353320 546040 600644 706640 750805 1092080 1201288 1501610 2402576 3003220 6006440 12012880