52122400 has 72 divisors (see below), whose sum is σ = 138834864. Its totient is φ = 18950400.

The previous prime is 52122397. The next prime is 52122401. The reversal of 52122400 is 422125.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (52122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5839 + ... + 11761.

It is an arithmetic number, because the mean of its divisors is an integer number (1928262).

Almost surely, 2^52122400 is an apocalyptic number.

52122400 is a gapful number since it is divisible by the number (50) 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 52122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69417432).

52122400 is an abundant number, since it is smaller than the sum of its proper divisors (86712464).

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

52122400 is a wasteful number, since it uses less digits than its factorization.

52122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 52122400 is about 7219.5844755775. The cubic root of 52122400 is about 373.5437447681.

Adding to 52122400 its reverse (422125), we get a palindrome (52544525).

The spelling of 52122400 in words is "fifty-two million, one hundred twenty-two thousand, four hundred".