252120012144 has 480 divisors, whose sum is σ = 890023368192. Its totient is φ = 59837184000.

The previous prime is 252120012139. The next prime is 252120012163. The reversal of 252120012144 is 441210021252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53378967 + ... + 53383689.

Almost surely, 2^252120012144 is an apocalyptic number.

252120012144 is a gapful number since it is divisible by the number (24) 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 252120012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445011684096).

252120012144 is an abundant number, since it is smaller than the sum of its proper divisors (637903356048).

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

252120012144 is a wasteful number, since it uses less digits than its factorization.

252120012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 252120012144 its reverse (441210021252), we get a palindrome (693330033396).

The spelling of 252120012144 in words is "two hundred fifty-two billion, one hundred twenty million, twelve thousand, one hundred forty-four".