12617210230416 has 200 divisors, whose sum is σ = 40341950985600. Its totient is φ = 3774999271680.

The previous prime is 12617210230399. The next prime is 12617210230421. The reversal of 12617210230416 is 61403201271621.

12617210230416 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 7 + 2 + 1 + 0 + 230 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4475331 + ... + 6727778.

It is an arithmetic number, because the mean of its divisors is an integer number (201709754928).

Almost surely, 2^{12617210230416} is an apocalyptic number.

12617210230416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12617210230416 is an abundant number, since it is smaller than the sum of its proper divisors (27724740755184).

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

12617210230416 is a wasteful number, since it uses less digits than its factorization.

12617210230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203219 (or 11203204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12617210230416 in words is "twelve trillion, six hundred seventeen billion, two hundred ten million, two hundred thirty thousand, four hundred sixteen".