120482947933920 has 1152 divisors, whose sum is σ = 501775047406080. Its totient is φ = 26764177489920.

The previous prime is 120482947933883. The next prime is 120482947933963. The reversal of 120482947933920 is 29339749284021.

120482947933920 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 8 + 294 + 7 + 9 + 339 + 2 + 0 = 666.

It is a super-2 number, since 2×120482947933920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1100175807 + ... + 1100285313.

It is an arithmetic number, because the mean of its divisors is an integer number (435568617540).

Almost surely, 2^{120482947933920} is an apocalyptic number.

120482947933920 is a gapful number since it is divisible by the number (10) 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 120482947933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250887523703040).

120482947933920 is an abundant number, since it is smaller than the sum of its proper divisors (381292099472160).

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

120482947933920 is a wasteful number, since it uses less digits than its factorization.

120482947933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109705 (or 109678 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 120482947933920 in words is "one hundred twenty trillion, four hundred eighty-two billion, nine hundred forty-seven million, nine hundred thirty-three thousand, nine hundred twenty".