120400249317264 has 80 divisors (see below), whose sum is σ = 394963780839040. Its totient is φ = 34400071232640.

The previous prime is 120400249317253. The next prime is 120400249317287. The reversal of 120400249317264 is 462713942004021.

120400249317264 is a `hidden beast` number, since 12 + 0 + 40 + 0 + 24 + 9 + 317 + 264 = 666.

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 15 ways as a sum of consecutive naturals, for example, 19907445607 + ... + 19907451654.

It is an arithmetic number, because the mean of its divisors is an integer number (4937047260488).

Almost surely, 2^{120400249317264} is an apocalyptic number.

120400249317264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120400249317264 is an abundant number, since it is smaller than the sum of its proper divisors (274563531521776).

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

120400249317264 is a wasteful number, since it uses less digits than its factorization.

120400249317264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39814897285 (or 39814897273 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 120400249317264 in words is "one hundred twenty trillion, four hundred billion, two hundred forty-nine million, three hundred seventeen thousand, two hundred sixty-four".