120050948072160 has 1536 divisors, whose sum is σ = 505951100928000. Its totient is φ = 25993418711040.

The previous prime is 120050948072147. The next prime is 120050948072171. The reversal of 120050948072160 is 61270849050021.

120050948072160 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 0 + 9 + 480 + 7 + 2 + 160 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31418723050 + ... + 31418726870.

It is an arithmetic number, because the mean of its divisors is an integer number (329395248000).

Almost surely, 2^{120050948072160} is an apocalyptic number.

120050948072160 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 120050948072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252975550464000).

120050948072160 is an abundant number, since it is smaller than the sum of its proper divisors (385900152855840).

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

120050948072160 is a wasteful number, since it uses less digits than its factorization.

120050948072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120050948072160 in words is "one hundred twenty trillion, fifty billion, nine hundred forty-eight million, seventy-two thousand, one hundred sixty".