122920400 has 30 divisors (see below), whose sum is σ = 295317222. Its totient is φ = 49168000.

The previous prime is 122920397. The next prime is 122920417. The reversal of 122920400 is 4029221.

It can be written as a sum of positive squares in 3 ways, for example, as 12334144 + 110586256 = 3512^2 + 10516^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153251 + ... + 154050.

Almost surely, 2^122920400 is an apocalyptic number.

122920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122920400 is an abundant number, since it is smaller than the sum of its proper divisors (172396822).

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

122920400 is a wasteful number, since it uses less digits than its factorization.

122920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307319 (or 307308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 122920400 is about 11086.9472804736. The cubic root of 122920400 is about 497.2116794415.

Adding to 122920400 its reverse (4029221), we get a palindrome (126949621).

The spelling of 122920400 in words is "one hundred twenty-two million, nine hundred twenty thousand, four hundred".