12974774400 has 480 divisors, whose sum is σ = 54727390080. Its totient is φ = 2965248000.

The previous prime is 12974774369. The next prime is 12974774411. The reversal of 12974774400 is 447747921.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 59 ways as a sum of consecutive naturals, for example, 1810825 + ... + 1817975.

It is an arithmetic number, because the mean of its divisors is an integer number (114015396).

Almost surely, 2^12974774400 is an apocalyptic number.

12974774400 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 12974774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363695040).

12974774400 is an abundant number, since it is smaller than the sum of its proper divisors (41752615680).

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

12974774400 is an equidigital number, since it uses as much as digits as its factorization.

12974774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 12974774400 in words is "twelve billion, nine hundred seventy-four million, seven hundred seventy-four thousand, four hundred".