12710838400 has 192 divisors, whose sum is σ = 34376315400. Its totient is φ = 4615372800.

The previous prime is 12710838397. The next prime is 12710838407. The reversal of 12710838400 is 483801721.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 843786304 + 11867052096 = 29048^2 + 108936^2 .

It is not an unprimeable number, because it can be changed into a prime (12710838407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2535096 + ... + 2540104.

Almost surely, 2^12710838400 is an apocalyptic number.

12710838400 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 12710838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188157700).

12710838400 is an abundant number, since it is smaller than the sum of its proper divisors (21665477000).

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

12710838400 is a wasteful number, since it uses less digits than its factorization.

12710838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 12710838400 in words is "twelve billion, seven hundred ten million, eight hundred thirty-eight thousand, four hundred".