120152481120 has 576 divisors, whose sum is σ = 482095950336. Its totient is φ = 26678108160.

The previous prime is 120152481107. The next prime is 120152481149. The reversal of 120152481120 is 21184251021.

120152481120 is a `hidden beast` number, since 1 + 20 + 1 + 524 + 8 + 112 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126876487 + ... + 126877433.

It is an arithmetic number, because the mean of its divisors is an integer number (836972136).

Almost surely, 2^120152481120 is an apocalyptic number.

120152481120 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 120152481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241047975168).

120152481120 is an abundant number, since it is smaller than the sum of its proper divisors (361943469216).

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

120152481120 is a wasteful number, since it uses less digits than its factorization.

120152481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 120152481120 in words is "one hundred twenty billion, one hundred fifty-two million, four hundred eighty-one thousand, one hundred twenty".