120066336 has 72 divisors (see below), whose sum is σ = 367714620. Its totient is φ = 36942336.

The previous prime is 120066319. The next prime is 120066337. The reversal of 120066336 is 633660021.

120066336 is a `hidden beast` number, since 1 + 20 + 0 + 6 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 32400 = 10956^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (120066337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12291 + ... + 19778.

Almost surely, 2^120066336 is an apocalyptic number.

120066336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120066336 is an abundant number, since it is smaller than the sum of its proper divisors (247648284).

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

120066336 is a wasteful number, since it uses less digits than its factorization.

120066336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32098 (or 32087 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 120066336 is about 10957.4785420734. The cubic root of 120066336 is about 493.3332862592. Note that the first 3 decimals are identical.

The spelling of 120066336 in words is "one hundred twenty million, sixty-six thousand, three hundred thirty-six".