120789588971520 has 3744 divisors, whose sum is σ = 525060074373120. Its totient is φ = 25563845099520.

The previous prime is 120789588971473. The next prime is 120789588971537. The reversal of 120789588971520 is 25179885987021.

120789588971520 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 8 + 9 + 5 + 8 + 8 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×120789588971520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 951099125697 + ... + 951099125823.

It is an arithmetic number, because the mean of its divisors is an integer number (140240404480).

Almost surely, 2^{120789588971520} is an apocalyptic number.

120789588971520 is a gapful number since it is divisible by the number (10) 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 120789588971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262530037186560).

120789588971520 is an abundant number, since it is smaller than the sum of its proper divisors (404270485401600).

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

120789588971520 is a wasteful number, since it uses less digits than its factorization.

120789588971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 72.

The spelling of 120789588971520 in words is "one hundred twenty trillion, seven hundred eighty-nine billion, five hundred eighty-eight million, nine hundred seventy-one thousand, five hundred twenty".