120337057122048 has 864 divisors, whose sum is σ = 400522916154816. Its totient is φ = 34419750469632.

The previous prime is 120337057121947. The next prime is 120337057122083. The reversal of 120337057122048 is 840221750733021.

120337057122048 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 70 + 571 + 2 + 2 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120337057121994 and 120337057122012.

It is a congruent number.

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, 19232385736 + ... + 19232391992.

It is an arithmetic number, because the mean of its divisors is an integer number (463568189994).

Almost surely, 2^{120337057122048} is an apocalyptic number.

120337057122048 is a gapful number since it is divisible by the number (18) 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 120337057122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200261458077408).

120337057122048 is an abundant number, since it is smaller than the sum of its proper divisors (280185859032768).

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

120337057122048 is a wasteful number, since it uses less digits than its factorization.

120337057122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 120337057122048 in words is "one hundred twenty trillion, three hundred thirty-seven billion, fifty-seven million, one hundred twenty-two thousand, forty-eight".