120513960 has 256 divisors, whose sum is σ = 483840000. Its totient is φ = 26065152.

The previous prime is 120513959. The next prime is 120513977. The reversal of 120513960 is 69315021.

It is a super-2 number, since 2×120513960² = 29047229109763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143221 + ... + 144059.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^120513960 is an apocalyptic number.

120513960 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 120513960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

120513960 is an abundant number, since it is smaller than the sum of its proper divisors (363326040).

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

120513960 is a wasteful number, since it uses less digits than its factorization.

120513960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 120513960 is about 10977.8850422110. The cubic root of 120513960 is about 493.9455976632.

Adding to 120513960 its reverse (69315021), we get a palindrome (189828981).

The spelling of 120513960 in words is "one hundred twenty million, five hundred thirteen thousand, nine hundred sixty".