12361246202016 has 96 divisors (see below), whose sum is σ = 36078451657920. Its totient is φ = 4117579183872.

The previous prime is 12361246201991. The next prime is 12361246202033. The reversal of 12361246202016 is 61020264216321.

12361246202016 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 2 + 4 + 620 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667870 + ... + 6178653.

It is an arithmetic number, because the mean of its divisors is an integer number (375817204770).

Almost surely, 2^{12361246202016} is an apocalyptic number.

12361246202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12361246202016 is an abundant number, since it is smaller than the sum of its proper divisors (23717205455904).

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

12361246202016 is a wasteful number, since it uses less digits than its factorization.

12361246202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847995 (or 9847981 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12361246202016 in words is "twelve trillion, three hundred sixty-one billion, two hundred forty-six million, two hundred two thousand, sixteen".