120851501589504 has 2475 divisors, whose sum is σ = 455435180377881. Its totient is φ = 31913838673920.

The previous prime is 120851501589473. The next prime is 120851501589527. The reversal of 120851501589504 is 405985105158021.

The square root of 120851501589504 is 10993248.

It is a perfect power (a square), and thus also a powerful number.

120851501589504 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 1 + 5 + 0 + 1 + 589 + 50 + 4 = 666.

120851501589504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5823302575104 + 115028199014400 = 2413152^2 + 10725120^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2947597599724 + ... + 2947597599764.

Almost surely, 2^{120851501589504} is an apocalyptic number.

120851501589504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120851501589504 is the 10993248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120851501589504

120851501589504 is an abundant number, since it is smaller than the sum of its proper divisors (334583678788377).

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

120851501589504 is an frugal number, since it uses more digits than its factorization.

120851501589504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 54.

The spelling of 120851501589504 in words is "one hundred twenty trillion, eight hundred fifty-one billion, five hundred one million, five hundred eighty-nine thousand, five hundred four".