120132938951424 has 504 divisors, whose sum is σ = 425060756739360. Its totient is φ = 33140110639104.

The previous prime is 120132938951387. The next prime is 120132938951429. The reversal of 120132938951424 is 424159839231021.

120132938951424 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 2 + 93 + 89 + 51 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×120132938951424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120132938951429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36299164 + ... + 39470180.

It is an arithmetic number, because the mean of its divisors is an integer number (843374517340).

Almost surely, 2^{120132938951424} is an apocalyptic number.

120132938951424 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 120132938951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212530378369680).

120132938951424 is an abundant number, since it is smaller than the sum of its proper divisors (304927817787936).

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

120132938951424 is an frugal number, since it uses more digits than its factorization.

120132938951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171087 (or 3171058 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 120132938951424 in words is "one hundred twenty trillion, one hundred thirty-two billion, nine hundred thirty-eight million, nine hundred fifty-one thousand, four hundred twenty-four".