120157556100 has 576 divisors, whose sum is σ = 389787552000. Its totient is φ = 28466380800.

The previous prime is 120157556039. The next prime is 120157556173. The reversal of 120157556100 is 1655751021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1102362846 + ... + 1102362954.

It is an arithmetic number, because the mean of its divisors is an integer number (676714500).

Almost surely, 2^120157556100 is an apocalyptic number.

120157556100 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 120157556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776000).

120157556100 is an abundant number, since it is smaller than the sum of its proper divisors (269629995900).

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

120157556100 is a wasteful number, since it uses less digits than its factorization.

120157556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 120157556100 in words is "one hundred twenty billion, one hundred fifty-seven million, five hundred fifty-six thousand, one hundred".