120011664 has 80 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 38029440.

The previous prime is 120011659. The next prime is 120011719. The reversal of 120011664 is 466110021.

It is a self number, because there is not a number n which added to its sum of digits gives 120011664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87109 + ... + 88475.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2^120011664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

120011664 is an abundant number, since it is smaller than the sum of its proper divisors (205681776).

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

120011664 is a wasteful number, since it uses less digits than its factorization.

120011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 120011664 is about 10954.9835234929. The cubic root of 120011664 is about 493.2583954026.

Adding to 120011664 its reverse (466110021), we get a palindrome (586121685).

The spelling of 120011664 in words is "one hundred twenty million, eleven thousand, six hundred sixty-four".