120101561011200 has 528 divisors, whose sum is σ = 407403938792576. Its totient is φ = 31187474841600.

The previous prime is 120101561011177. The next prime is 120101561011217. The reversal of 120101561011200 is 2110165101021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093039464 + ... + 1093149336.

Almost surely, 2^{120101561011200} is an apocalyptic number.

120101561011200 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 120101561011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203701969396288).

120101561011200 is an abundant number, since it is smaller than the sum of its proper divisors (287302377781376).

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

120101561011200 is a wasteful number, since it uses less digits than its factorization.

120101561011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110280 (or 110257 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

The spelling of 120101561011200 in words is "one hundred twenty trillion, one hundred one billion, five hundred sixty-one million, eleven thousand, two hundred".