120228624 has 180 divisors, whose sum is σ = 374132304. Its totient is φ = 37366272.

The previous prime is 120228617. The next prime is 120228697. The reversal of 120228624 is 426822021.

It is a happy number.

120228624 is a `hidden beast` number, since 12 + 0 + 2 + 28 + 624 = 666.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1123579 + ... + 1123685.

Almost surely, 2^120228624 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 120228624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066152).

120228624 is an abundant number, since it is smaller than the sum of its proper divisors (253903680).

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

120228624 is a wasteful number, since it uses less digits than its factorization.

120228624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 120228624 is about 10964.8813947074. The cubic root of 120228624 is about 493.5554579632. Note that the first 3 decimals are identical.

The spelling of 120228624 in words is "one hundred twenty million, two hundred twenty-eight thousand, six hundred twenty-four".