12920035161600 has 1920 divisors, whose sum is σ = 57211266816000. Its totient is φ = 2791943700480.

The previous prime is 12920035161587. The next prime is 12920035161601. The reversal of 12920035161600 is 616153002921.

12920035161600 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 0 + 0 + 35 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×12920035161600² (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 not an unprimeable number, because it can be changed into a prime (12920035161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4952101096 + ... + 4952103704.

It is an arithmetic number, because the mean of its divisors is an integer number (29797534800).

Almost surely, 2^{12920035161600} is an apocalyptic number.

12920035161600 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 12920035161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605633408000).

12920035161600 is an abundant number, since it is smaller than the sum of its proper divisors (44291231654400).

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

12920035161600 is a wasteful number, since it uses less digits than its factorization.

12920035161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12920035161600 in words is "twelve trillion, nine hundred twenty billion, thirty-five million, one hundred sixty-one thousand, six hundred".