12932136963900 has 1440 divisors, whose sum is σ = 53336411251200. Its totient is φ = 2632443494400.

The previous prime is 12932136963839. The next prime is 12932136963919. The reversal of 12932136963900 is 936963123921.

12932136963900 is a `hidden beast` number, since 1 + 2 + 9 + 32 + 136 + 96 + 390 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16816822716 + ... + 16816823484.

It is an arithmetic number, because the mean of its divisors is an integer number (37039174480).

Almost surely, 2^{12932136963900} is an apocalyptic number.

12932136963900 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 12932136963900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26668205625600).

12932136963900 is an abundant number, since it is smaller than the sum of its proper divisors (40404274287300).

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

12932136963900 is a wasteful number, since it uses less digits than its factorization.

12932136963900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 12932136963900 in words is "twelve trillion, nine hundred thirty-two billion, one hundred thirty-six million, nine hundred sixty-three thousand, nine hundred".