122008400 has 30 divisors (see below), whose sum is σ = 293126142. Its totient is φ = 48803200.

The previous prime is 122008391. The next prime is 122008417. The reversal of 122008400 is 4800221.

It can be written as a sum of positive squares in 3 ways, for example, as 2062096 + 119946304 = 1436^2 + 10952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152111 + ... + 152910.

Almost surely, 2^122008400 is an apocalyptic number.

122008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122008400 is an abundant number, since it is smaller than the sum of its proper divisors (171117742).

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

122008400 is a wasteful number, since it uses less digits than its factorization.

122008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305039 (or 305028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 122008400 is about 11045.7412607756. The cubic root of 122008400 is about 495.9789489852.

Adding to 122008400 its reverse (4800221), we get a palindrome (126808621).

The spelling of 122008400 in words is "one hundred twenty-two million, eight thousand, four hundred".