120744624 has 240 divisors, whose sum is σ = 427472640. Its totient is φ = 28869120.

The previous prime is 120744607. The next prime is 120744667. The reversal of 120744624 is 426447021.

It is a super-3 number, since 3×120744624³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120744591 and 120744600.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 336157 + ... + 336515.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^120744624 is an apocalyptic number.

120744624 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 120744624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

120744624 is an abundant number, since it is smaller than the sum of its proper divisors (306728016).

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

120744624 is a wasteful number, since it uses less digits than its factorization.

120744624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 120744624 is about 10988.3858687252. The cubic root of 120744624 is about 494.2605344933.

The spelling of 120744624 in words is "one hundred twenty million, seven hundred forty-four thousand, six hundred twenty-four".