122202400 has 36 divisors (see below), whose sum is σ = 298328562. Its totient is φ = 48880640.

The previous prime is 122202371. The next prime is 122202401. The reversal of 122202400 is 4202221.

It can be written as a sum of positive squares in 3 ways, for example, as 113976976 + 8225424 = 10676^2 + 2868^2 .

It is not an unprimeable number, because it can be changed into a prime (122202401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75577 + ... + 77176.

Almost surely, 2^122202400 is an apocalyptic number.

122202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202400 is an abundant number, since it is smaller than the sum of its proper divisors (176126162).

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

122202400 is a wasteful number, since it uses less digits than its factorization.

122202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152773 (or 152760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 122202400 is about 11054.5194377684. The cubic root of 122202400 is about 496.2416876239.

Adding to 122202400 its reverse (4202221), we get a palindrome (126404621).

The spelling of 122202400 in words is "one hundred twenty-two million, two hundred two thousand, four hundred".