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12213120 = 27356361
BaseRepresentation
bin101110100101…
…101110000000
3211222111020210
4232211232000
511111304440
61113434120
7205544523
oct56455600
924874223
1012213120
116991997
12410b940
1326b7cca
14189cbba
151113a80
hexba5b80

12213120 has 64 divisors (see below), whose sum is σ = 38935440. Its totient is φ = 3256320.

The previous prime is 12213109. The next prime is 12213127. The reversal of 12213120 is 2131221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12213096 and 12213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 5100.

Almost surely, 212213120 is an apocalyptic number.

12213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213120 is an abundant number, since it is smaller than the sum of its proper divisors (26722320).

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

12213120 is an equidigital number, since it uses as much as digits as its factorization.

12213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12213120 is about 3494.7274571846. The cubic root of 12213120 is about 230.2902447923.

Adding to 12213120 its reverse (2131221), we get a palindrome (14344341).

The spelling of 12213120 in words is "twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6361 12722 19083 25444 31805 38166 50888 63610 76332 95415 101776 127220 152664 190830 203552 254440 305328 381660 407104 508880 610656 763320 814208 1017760 1221312 1526640 2035520 2442624 3053280 4071040 6106560 12213120