120751872604272 has 800 divisors, whose sum is σ = 451298103517184. Its totient is φ = 30314045491200.

The previous prime is 120751872604267. The next prime is 120751872604283. The reversal of 120751872604272 is 272406278157021.

120751872604272 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 1 + 8 + 7 + 2 + 604 + 27 + 2 = 666.

120751872604272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 222746253 + ... + 223287699.

Almost surely, 2^{120751872604272} is an apocalyptic number.

120751872604272 is a gapful number since it is divisible by the number (12) 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 120751872604272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225649051758592).

120751872604272 is an abundant number, since it is smaller than the sum of its proper divisors (330546230912912).

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

120751872604272 is a wasteful number, since it uses less digits than its factorization.

120751872604272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541579 (or 541564 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 120751872604272 in words is "one hundred twenty trillion, seven hundred fifty-one billion, eight hundred seventy-two million, six hundred four thousand, two hundred seventy-two".