252421122400 has 72 divisors (see below), whose sum is σ = 616378752360. Its totient is φ = 100942940160.

The previous prime is 252421122397. The next prime is 252421122403. The reversal of 252421122400 is 4221124252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252421122397) and next prime (252421122403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252421122403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3303831 + ... + 3379369.

It is an arithmetic number, because the mean of its divisors is an integer number (8560816005).

Almost surely, 2^252421122400 is an apocalyptic number.

252421122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252421122400 is an abundant number, since it is smaller than the sum of its proper divisors (363957629960).

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

252421122400 is a wasteful number, since it uses less digits than its factorization.

252421122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79736 (or 79723 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 252421122400 its reverse (4221124252), we get a palindrome (256642246652).

The spelling of 252421122400 in words is "two hundred fifty-two billion, four hundred twenty-one million, one hundred twenty-two thousand, four hundred".