120024431300352 has 144 divisors (see below), whose sum is σ = 319689129376512. Its totient is φ = 39976955289600.

The previous prime is 120024431300329. The next prime is 120024431300413. The reversal of 120024431300352 is 253003134420021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10088624068 + ... + 10088635964.

It is an arithmetic number, because the mean of its divisors is an integer number (2220063398448).

Almost surely, 2^{120024431300352} is an apocalyptic number.

120024431300352 is a gapful number since it is divisible by the number (12) 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 120024431300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159844564688256).

120024431300352 is an abundant number, since it is smaller than the sum of its proper divisors (199664698076160).

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

120024431300352 is a wasteful number, since it uses less digits than its factorization.

120024431300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21054 (or 21040 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 120024431300352 its reverse (253003134420021), we get a palindrome (373027565720373).

The spelling of 120024431300352 in words is "one hundred twenty trillion, twenty-four billion, four hundred thirty-one million, three hundred thousand, three hundred fifty-two".