12974476040100 has 81 divisors (see below), whose sum is σ = 40668113055297. Its totient is φ = 3459831461280.

The previous prime is 12974476040077. The next prime is 12974476040129. The reversal of 12974476040100 is 104067447921.

The square root of 12974476040100 is 3602010.

It is a perfect power (a square), and thus also a powerful number.

12974476040100 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 447 + 60 + 40 + 100 = 666.

12974476040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4670811374436 + 8303664665664 = 2161206^2 + 2881608^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108000267 + ... + 108120333.

Almost surely, 2^{12974476040100} is an apocalyptic number.

12974476040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12974476040100 is the 3602010-th square number.

It is an amenable number.

12974476040100 is an abundant number, since it is smaller than the sum of its proper divisors (27693637015197).

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

12974476040100 is an frugal number, since it uses more digits than its factorization.

12974476040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240154 (or 120077 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12974476040100 in words is "twelve trillion, nine hundred seventy-four billion, four hundred seventy-six million, forty thousand, one hundred".