120954624 has 144 divisors (see below), whose sum is σ = 372825600. Its totient is φ = 34099200.

The previous prime is 120954607. The next prime is 120954629. The reversal of 120954624 is 426459021.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120954629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800949 + ... + 801099.

Almost surely, 2^120954624 is an apocalyptic number.

120954624 is a gapful number since it is divisible by the number (14) 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 120954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186412800).

120954624 is an abundant number, since it is smaller than the sum of its proper divisors (251870976).

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

120954624 is a wasteful number, since it uses less digits than its factorization.

120954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 120954624 is about 10997.9372611413. The cubic root of 120954624 is about 494.5469091391.

The spelling of 120954624 in words is "one hundred twenty million, nine hundred fifty-four thousand, six hundred twenty-four".