120361570272000 has 2592 divisors, whose sum is σ = 483560297962560. Its totient is φ = 29796537139200.

The previous prime is 120361570271993. The next prime is 120361570272001. The reversal of 120361570272000 is 272075163021.

120361570272000 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 61 + 570 + 2 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120361570272001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148778207596 + ... + 148778208404.

It is an arithmetic number, because the mean of its divisors is an integer number (186558756930).

Almost surely, 2^{120361570272000} is an apocalyptic number.

120361570272000 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 120361570272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241780148981280).

120361570272000 is an abundant number, since it is smaller than the sum of its proper divisors (363198727690560).

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

120361570272000 is an frugal number, since it uses more digits than its factorization.

120361570272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 120361570272000 in words is "one hundred twenty trillion, three hundred sixty-one billion, five hundred seventy million, two hundred seventy-two thousand".