120471120491904 has 1536 divisors, whose sum is σ = 453769802956800. Its totient is φ = 30790919577600.

The previous prime is 120471120491899. The next prime is 120471120491921. The reversal of 120471120491904 is 409194021174021.

120471120491904 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 71 + 1 + 2 + 0 + 491 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120471120491904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23030224969 + ... + 23030230199.

It is an arithmetic number, because the mean of its divisors is an integer number (295423048800).

Almost surely, 2^{120471120491904} is an apocalyptic number.

120471120491904 is a gapful number since it is divisible by the number (14) 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 120471120491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226884901478400).

120471120491904 is an abundant number, since it is smaller than the sum of its proper divisors (333298682464896).

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

120471120491904 is a wasteful number, since it uses less digits than its factorization.

120471120491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 120471120491904 in words is "one hundred twenty trillion, four hundred seventy-one billion, one hundred twenty million, four hundred ninety-one thousand, nine hundred four".