12416572059120 has 120 divisors (see below), whose sum is σ = 41702322807600. Its totient is φ = 3310821070848.

The previous prime is 12416572059113. The next prime is 12416572059127. The reversal of 12416572059120 is 2195027561421.

12416572059120 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 6 + 57 + 2 + 0 + 591 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12416572059113) and next prime (12416572059127).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416572059127) 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, 8402376 + ... + 9768984.

It is an arithmetic number, because the mean of its divisors is an integer number (347519356730).

Almost surely, 2^{12416572059120} is an apocalyptic number.

12416572059120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416572059120 is an abundant number, since it is smaller than the sum of its proper divisors (29285750748480).

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

12416572059120 is a wasteful number, since it uses less digits than its factorization.

12416572059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379247 (or 1379238 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12416572059120 in words is "twelve trillion, four hundred sixteen billion, five hundred seventy-two million, fifty-nine thousand, one hundred twenty".