120336138832896 has 1056 divisors, whose sum is σ = 416562534355968. Its totient is φ = 33987027271680.

The previous prime is 120336138832867. The next prime is 120336138832939. The reversal of 120336138832896 is 698238831633021.

It is a happy number.

120336138832896 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 613 + 8 + 8 + 3 + 2 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116717883901 + ... + 116717884931.

It is an arithmetic number, because the mean of its divisors is an integer number (394472096928).

Almost surely, 2^{120336138832896} is an apocalyptic number.

120336138832896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120336138832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208281267177984).

120336138832896 is an abundant number, since it is smaller than the sum of its proper divisors (296226395523072).

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

120336138832896 is a wasteful number, since it uses less digits than its factorization.

120336138832896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 120336138832896 in words is "one hundred twenty trillion, three hundred thirty-six billion, one hundred thirty-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".