120046572000 has 288 divisors, whose sum is σ = 427597488864. Its totient is φ = 31895808000.

The previous prime is 120046571993. The next prime is 120046572013. The reversal of 120046572000 is 275640021.

120046572000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 657 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120046572000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 10110067 + ... + 10121933.

It is an arithmetic number, because the mean of its divisors is an integer number (1484713503).

Almost surely, 2^120046572000 is an apocalyptic number.

120046572000 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 120046572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213798744432).

120046572000 is an abundant number, since it is smaller than the sum of its proper divisors (307550916864).

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

120046572000 is a wasteful number, since it uses less digits than its factorization.

120046572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 120046572000 in words is "one hundred twenty billion, forty-six million, five hundred seventy-two thousand".