120282624 has 320 divisors, whose sum is σ = 447828480. Its totient is φ = 30965760.

The previous prime is 120282623. The next prime is 120282661. The reversal of 120282624 is 426282021.

It is a happy number.

120282624 is a `hidden beast` number, since 12 + 0 + 28 + 2 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120282623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064392 + ... + 1064504.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^120282624 is an apocalyptic number.

120282624 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 120282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

120282624 is an abundant number, since it is smaller than the sum of its proper divisors (327545856).

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

120282624 is a wasteful number, since it uses less digits than its factorization.

120282624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

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

The square root of 120282624 is about 10967.3435252116. The cubic root of 120282624 is about 493.6293394418.

The spelling of 120282624 in words is "one hundred twenty million, two hundred eighty-two thousand, six hundred twenty-four".