12921732956160 has 1920 divisors, whose sum is σ = 55714698737280. Its totient is φ = 2853804441600.

The previous prime is 12921732956147. The next prime is 12921732956173. The reversal of 12921732956160 is 6165923712921.

12921732956160 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 1 + 73 + 2 + 9 + 561 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12921732956147) and next prime (12921732956173).

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

It is a super-2 number, since 2×12921732956160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12921732956097 and 12921732956106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20158709440 + ... + 20158710080.

It is an arithmetic number, because the mean of its divisors is an integer number (29018072259).

Almost surely, 2^{12921732956160} is an apocalyptic number.

12921732956160 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 12921732956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857349368640).

12921732956160 is an abundant number, since it is smaller than the sum of its proper divisors (42792965781120).

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

12921732956160 is an frugal number, since it uses more digits than its factorization.

12921732956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 12921732956160 in words is "twelve trillion, nine hundred twenty-one billion, seven hundred thirty-two million, nine hundred fifty-six thousand, one hundred sixty".