120188468736 has 560 divisors, whose sum is σ = 415518342624. Its totient is φ = 34004385792.

The previous prime is 120188468723. The next prime is 120188468773. The reversal of 120188468736 is 637864881021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 410199406 + ... + 410199698.

Almost surely, 2^120188468736 is an apocalyptic number.

120188468736 is a gapful number since it is divisible by the number (16) 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 120188468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207759171312).

120188468736 is an abundant number, since it is smaller than the sum of its proper divisors (295329873888).

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

120188468736 is an frugal number, since it uses more digits than its factorization.

120188468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 120188468736 in words is "one hundred twenty billion, one hundred eighty-eight million, four hundred sixty-eight thousand, seven hundred thirty-six".