120050671791600 has 720 divisors, whose sum is σ = 456658181330208. Its totient is φ = 28964044800000.

The previous prime is 120050671791529. The next prime is 120050671791613. The reversal of 120050671791600 is 6197176050021.

120050671791600 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 506 + 71 + 79 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×120050671791600² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20623716690 + ... + 20623722510.

Almost surely, 2^{120050671791600} is an apocalyptic number.

120050671791600 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 120050671791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228329090665104).

120050671791600 is an abundant number, since it is smaller than the sum of its proper divisors (336607509538608).

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

120050671791600 is a wasteful number, since it uses less digits than its factorization.

120050671791600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 120050671791600 in words is "one hundred twenty trillion, fifty billion, six hundred seventy-one million, seven hundred ninety-one thousand, six hundred".