120612960 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 27869184.

The previous prime is 120612959. The next prime is 120612983. The reversal of 120612960 is 69216021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120612960² = 29094972239923200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318051 + ... + 318429.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^120612960 is an apocalyptic number.

120612960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

120612960 is an abundant number, since it is smaller than the sum of its proper divisors (349951680).

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

120612960 is a wasteful number, since it uses less digits than its factorization.

120612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120612960 is about 10982.3931818161. The cubic root of 120612960 is about 494.0808163824.

Adding to 120612960 its reverse (69216021), we get a palindrome (189828981).

The spelling of 120612960 in words is "one hundred twenty million, six hundred twelve thousand, nine hundred sixty".