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12162640014360 = 23355111011126283
BaseRepresentation
bin1011000011111101010111…
…0101100110110000011000
31121001201220021221212200000
42300333111311212300120
53043233041320424420
641511234550013000
72363502362224413
oct260772565466030
947051807855600
1012162640014360
11396a168232910
12144524b647160
136a2c1689c684
14300963d8cb7a
151615a1544690
hexb0fd5d66c18

12162640014360 has 384 divisors, whose sum is σ = 45162006140160. Its totient is φ = 2919322944000.

The previous prime is 12162640014341. The next prime is 12162640014419. The reversal of 12162640014360 is 6341004626121.

12162640014360 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 2 + 640 + 0 + 1 + 4 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×121626400143602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10235779 + ... + 11362061.

It is an arithmetic number, because the mean of its divisors is an integer number (117609390990).

Almost surely, 212162640014360 is an apocalyptic number.

12162640014360 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 12162640014360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22581003070080).

12162640014360 is an abundant number, since it is smaller than the sum of its proper divisors (32999366125800).

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

12162640014360 is a wasteful number, since it uses less digits than its factorization.

12162640014360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126421 (or 1126405 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12162640014360 in words is "twelve trillion, one hundred sixty-two billion, six hundred forty million, fourteen thousand, three hundred sixty".