120627110016 has 384 divisors, whose sum is σ = 418803840000. Its totient is φ = 32555685888.

The previous prime is 120627110003. The next prime is 120627110033. The reversal of 120627110016 is 610011726021.

It is a happy number.

120627110016 is a `hidden beast` number, since 1 + 20 + 627 + 1 + 1 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 64196565 + ... + 64198443.

It is an arithmetic number, because the mean of its divisors is an integer number (1090635000).

Almost surely, 2^120627110016 is an apocalyptic number.

120627110016 is a gapful number since it is divisible by the number (16) 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 120627110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209401920000).

120627110016 is an abundant number, since it is smaller than the sum of its proper divisors (298176729984).

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

120627110016 is a wasteful number, since it uses less digits than its factorization.

120627110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 120627110016 its reverse (610011726021), we get a palindrome (730638836037).

The spelling of 120627110016 in words is "one hundred twenty billion, six hundred twenty-seven million, one hundred ten thousand, sixteen".