120538758618720 has 384 divisors, whose sum is σ = 454388075568000. Its totient is φ = 29667834814464.

The previous prime is 120538758618689. The next prime is 120538758618757. The reversal of 120538758618720 is 27816857835021.

120538758618720 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 8 + 7 + 5 + 8 + 618 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×120538758618720³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535260706 + ... + 535485854.

It is an arithmetic number, because the mean of its divisors is an integer number (1183302280125).

Almost surely, 2^{120538758618720} is an apocalyptic number.

120538758618720 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 120538758618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227194037784000).

120538758618720 is an abundant number, since it is smaller than the sum of its proper divisors (333849316949280).

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

120538758618720 is a wasteful number, since it uses less digits than its factorization.

120538758618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234719 (or 234705 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 120538758618720 in words is "one hundred twenty trillion, five hundred thirty-eight billion, seven hundred fifty-eight million, six hundred eighteen thousand, seven hundred twenty".