12932054400 has 192 divisors, whose sum is σ = 42934394880. Its totient is φ = 3421071360.

The previous prime is 12932054363. The next prime is 12932054413. The reversal of 12932054400 is 445023921.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213897 + ... + 1224503.

It is an arithmetic number, because the mean of its divisors is an integer number (223616640).

Almost surely, 2^12932054400 is an apocalyptic number.

12932054400 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 12932054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467197440).

12932054400 is an abundant number, since it is smaller than the sum of its proper divisors (30002340480).

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

12932054400 is a wasteful number, since it uses less digits than its factorization.

12932054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12932054400 in words is "twelve billion, nine hundred thirty-two million, fifty-four thousand, four hundred".