12970598400 has 504 divisors, whose sum is σ = 48170738304. Its totient is φ = 3332505600.

The previous prime is 12970598371. The next prime is 12970598401. The reversal of 12970598400 is 489507921.

12970598400 is a `hidden beast` number, since 12 + 9 + 7 + 0 + 598 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12970598401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57139087 + ... + 57139313.

Almost surely, 2^12970598400 is an apocalyptic number.

12970598400 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 12970598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085369152).

12970598400 is an abundant number, since it is smaller than the sum of its proper divisors (35200139904).

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

12970598400 is a wasteful number, since it uses less digits than its factorization.

12970598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12970598400 in words is "twelve billion, nine hundred seventy million, five hundred ninety-eight thousand, four hundred".