42122400 has 72 divisors (see below), whose sum is σ = 137116224. Its totient is φ = 11232000.

The previous prime is 42122393. The next prime is 42122429. The reversal of 42122400 is 422124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42122400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6376 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (1904392).

Almost surely, 2^42122400 is an apocalyptic number.

42122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42122400 is an abundant number, since it is smaller than the sum of its proper divisors (94993824).

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

42122400 is a wasteful number, since it uses less digits than its factorization.

42122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17574 (or 17561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42122400 is about 6490.1771932668. The cubic root of 42122400 is about 347.9400081551.

Adding to 42122400 its reverse (422124), we get a palindrome (42544524).

The spelling of 42122400 in words is "forty-two million, one hundred twenty-two thousand, four hundred".