120813039794592 has 144 divisors (see below), whose sum is σ = 346987011282912. Its totient is φ = 39870021035520.

The previous prime is 120813039794569. The next prime is 120813039794621. The reversal of 120813039794592 is 295497930318021.

120813039794592 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 1 + 3 + 0 + 39 + 7 + 9 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 48743463 + ... + 51162009.

It is an arithmetic number, because the mean of its divisors is an integer number (2409632022798).

Almost surely, 2^{120813039794592} is an apocalyptic number.

120813039794592 is a gapful number since it is divisible by the number (12) 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 120813039794592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173493505641456).

120813039794592 is an abundant number, since it is smaller than the sum of its proper divisors (226173971488320).

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

120813039794592 is a wasteful number, since it uses less digits than its factorization.

120813039794592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420291 (or 2420280 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 120813039794592 in words is "one hundred twenty trillion, eight hundred thirteen billion, thirty-nine million, seven hundred ninety-four thousand, five hundred ninety-two".