12938234400 has 1296 divisors, whose sum is σ = 59471193600. Its totient is φ = 2641766400.

The previous prime is 12938234389. The next prime is 12938234447. The reversal of 12938234400 is 443283921.

12938234400 is a `hidden beast` number, since 12 + 9 + 3 + 8 + 234 + 400 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 417362385 + ... + 417362415.

Almost surely, 2^12938234400 is an apocalyptic number.

12938234400 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 12938234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29735596800).

12938234400 is an abundant number, since it is smaller than the sum of its proper divisors (46532959200).

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

12938234400 is a wasteful number, since it uses less digits than its factorization.

12938234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

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

The spelling of 12938234400 in words is "twelve billion, nine hundred thirty-eight million, two hundred thirty-four thousand, four hundred".