122667400 has 24 divisors (see below), whose sum is σ = 285202170. Its totient is φ = 49066880.

The previous prime is 122667331. The next prime is 122667407. The reversal of 122667400 is 4766221.

It can be written as a sum of positive squares in 3 ways, for example, as 47914084 + 74753316 = 6922^2 + 8646^2 .

It is not an unprimeable number, because it can be changed into a prime (122667407) by changing a digit.

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, 306469 + ... + 306868.

Almost surely, 2^122667400 is an apocalyptic number.

122667400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122667400 is an abundant number, since it is smaller than the sum of its proper divisors (162534770).

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

122667400 is a wasteful number, since it uses less digits than its factorization.

122667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613353 (or 613344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 122667400 is about 11075.5315899509. The cubic root of 122667400 is about 496.8703177176.

The spelling of 122667400 in words is "one hundred twenty-two million, six hundred sixty-seven thousand, four hundred".