120624278328 has 256 divisors, whose sum is σ = 359549798400. Its totient is φ = 37336965120.

The previous prime is 120624278323. The next prime is 120624278371. The reversal of 120624278328 is 823872426021.

120624278328 is a `hidden beast` number, since 12 + 0 + 6 + 242 + 78 + 328 = 666.

It is a hoax number, since the sum of its digits (45) 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 (120624278323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132408193 + ... + 132409103.

It is an arithmetic number, because the mean of its divisors is an integer number (1404491400).

Almost surely, 2^120624278328 is an apocalyptic number.

120624278328 is a gapful number since it is divisible by the number (18) 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 120624278328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179774899200).

120624278328 is an abundant number, since it is smaller than the sum of its proper divisors (238925520072).

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

120624278328 is a wasteful number, since it uses less digits than its factorization.

120624278328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 120624278328 in words is "one hundred twenty billion, six hundred twenty-four million, two hundred seventy-eight thousand, three hundred twenty-eight".