120242237529024 has 336 divisors, whose sum is σ = 374860117151520. Its totient is φ = 36631026524160.

The previous prime is 120242237528999. The next prime is 120242237529049. The reversal of 120242237529024 is 420925732242021.

120242237529024 is a `hidden beast` number, since 1 + 20 + 242 + 237 + 52 + 90 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (120242237528999) and next prime (120242237529049).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307464042 + ... + 307854870.

It is an arithmetic number, because the mean of its divisors is an integer number (1115655110570).

Almost surely, 2^{120242237529024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120242237529024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187430058575760).

120242237529024 is an abundant number, since it is smaller than the sum of its proper divisors (254617879622496).

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

120242237529024 is a wasteful number, since it uses less digits than its factorization.

120242237529024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391268 (or 391255 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 120242237529024 in words is "one hundred twenty trillion, two hundred forty-two billion, two hundred thirty-seven million, five hundred twenty-nine thousand, twenty-four".