120215664 has 200 divisors, whose sum is σ = 376300320. Its totient is φ = 36951552.

The previous prime is 120215633. The next prime is 120215671. The reversal of 120215664 is 466512021.

It is a super-4 number, since 4×120215664⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1102842 + ... + 1102950.

Almost surely, 2^120215664 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 120215664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188150160).

120215664 is an abundant number, since it is smaller than the sum of its proper divisors (256084656).

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

120215664 is a wasteful number, since it uses less digits than its factorization.

120215664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120215664 is about 10964.2904011158. The cubic root of 120215664 is about 493.5377231167.

Adding to 120215664 its reverse (466512021), we get a palindrome (586727685).

The spelling of 120215664 in words is "one hundred twenty million, two hundred fifteen thousand, six hundred sixty-four".