120408365516688 has 60 divisors (see below), whose sum is σ = 337049494958748. Its totient is φ = 40127390680320.

The previous prime is 120408365516623. The next prime is 120408365516711. The reversal of 120408365516688 is 886615563804021.

120408365516688 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 8 + 36 + 5 + 516 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57339545554944 + 63068819961744 = 7572288^2 + 7941588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90285303 + ... + 91609238.

Almost surely, 2^{120408365516688} is an apocalyptic number.

120408365516688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120408365516688 is an abundant number, since it is smaller than the sum of its proper divisors (216641129442060).

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

120408365516688 is a wasteful number, since it uses less digits than its factorization.

120408365516688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181899152 (or 181899143 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 120408365516688 in words is "one hundred twenty trillion, four hundred eight billion, three hundred sixty-five million, five hundred sixteen thousand, six hundred eighty-eight".