122400204 has 96 divisors (see below), whose sum is σ = 332398080. Its totient is φ = 34771968.

The previous prime is 122400199. The next prime is 122400217. The reversal of 122400204 is 402004221.

122400204 = 353² + 354² + ... + 743².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88462 + ... + 89834.

It is an arithmetic number, because the mean of its divisors is an integer number (3462480).

Almost surely, 2^122400204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122400204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

122400204 is an abundant number, since it is smaller than the sum of its proper divisors (209997876).

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

122400204 is a wasteful number, since it uses less digits than its factorization.

122400204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

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

The square root of 122400204 is about 11063.4625682921. The cubic root of 122400204 is about 496.5092919607.

Adding to 122400204 its reverse (402004221), we get a palindrome (524404425).

The spelling of 122400204 in words is "one hundred twenty-two million, four hundred thousand, two hundred four".