120983638151040 has 512 divisors, whose sum is σ = 486940378429440. Its totient is φ = 24895134105600.

The previous prime is 120983638151021. The next prime is 120983638151083. The reversal of 120983638151040 is 40151836389021.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6256161 + ... + 16766240.

It is an arithmetic number, because the mean of its divisors is an integer number (951055426620).

Almost surely, 2^{120983638151040} is an apocalyptic number.

120983638151040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120983638151040 is an abundant number, since it is smaller than the sum of its proper divisors (365956740278400).

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

120983638151040 is a wasteful number, since it uses less digits than its factorization.

120983638151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23022470 (or 23022458 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 120983638151040 in words is "one hundred twenty trillion, nine hundred eighty-three billion, six hundred thirty-eight million, one hundred fifty-one thousand, forty".