120659664321 has 135 divisors (see below), whose sum is σ = 217550451651. Its totient is φ = 64425739392.

The previous prime is 120659664313. The next prime is 120659664329. The reversal of 120659664321 is 123466956021.

120659664321 = 1³ + 2³ + ... + 833³.

The square root of 120659664321 is 347361.

It is a perfect power (a square), and thus also a powerful number.

120659664321 is a `hidden beast` number, since 1 + 20 + 6 + 596 + 6 + 4 + 32 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (120659664313) and next prime (120659664329).

It can be written as a sum of positive squares in only one way, i.e., 93939185025 + 26720479296 = 306495^2 + 163464^2 .

It is not a de Polignac number, because 120659664321 - 2³ = 120659664313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120659664329) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 868055070 + ... + 868055208.

Almost surely, 2^120659664321 is an apocalyptic number.

120659664321 is the 347361-st square number.

120659664321 is the 173681-st centered octagonal number.

It is an amenable number.

120659664321 is a deficient number, since it is larger than the sum of its proper divisors (96890787330).

120659664321 is an frugal number, since it uses more digits than its factorization.

120659664321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 120659664321 in words is "one hundred twenty billion, six hundred fifty-nine million, six hundred sixty-four thousand, three hundred twenty-one".