120496512 has 64 divisors (see below), whose sum is σ = 322156800. Its totient is φ = 39903744.

The previous prime is 120496511. The next prime is 120496513. The reversal of 120496512 is 215694021.

It is an interprime number because it is at equal distance from previous prime (120496511) and next prime (120496513).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120496512² = 29038818808332288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120496512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120496511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63189 + ... + 65067.

It is an arithmetic number, because the mean of its divisors is an integer number (5033700).

Almost surely, 2^120496512 is an apocalyptic number.

120496512 is a gapful number since it is divisible by the number (12) 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 120496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161078400).

120496512 is an abundant number, since it is smaller than the sum of its proper divisors (201660288).

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

120496512 is a wasteful number, since it uses less digits than its factorization.

120496512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 120496512 is about 10977.0903248538. The cubic root of 120496512 is about 493.9217587134.

The spelling of 120496512 in words is "one hundred twenty million, four hundred ninety-six thousand, five hundred twelve".