120413819673888 has 192 divisors, whose sum is σ = 341044868828160. Its totient is φ = 36980306445312.

The previous prime is 120413819673887. The next prime is 120413819673893. The reversal of 120413819673888 is 888376918314021.

It is not an unprimeable number, because it can be changed into a prime (120413819673883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966120581 + ... + 4966144827.

It is an arithmetic number, because the mean of its divisors is an integer number (1776275358480).

Almost surely, 2^{120413819673888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120413819673888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170522434414080).

120413819673888 is an abundant number, since it is smaller than the sum of its proper divisors (220631049154272).

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

120413819673888 is a wasteful number, since it uses less digits than its factorization.

120413819673888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31639 (or 31631 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 120413819673888 in words is "one hundred twenty trillion, four hundred thirteen billion, eight hundred nineteen million, six hundred seventy-three thousand, eight hundred eighty-eight".