122742800 has 30 divisors (see below), whose sum is σ = 294890538. Its totient is φ = 49096960.

The previous prime is 122742799. The next prime is 122742811. The reversal of 122742800 is 8247221.

It can be written as a sum of positive squares in 3 ways, for example, as 1478656 + 121264144 = 1216^2 + 11012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122742800.

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, 153029 + ... + 153828.

Almost surely, 2^122742800 is an apocalyptic number.

122742800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122742800 is an abundant number, since it is smaller than the sum of its proper divisors (172147738).

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

122742800 is a wasteful number, since it uses less digits than its factorization.

122742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306875 (or 306864 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 122742800 is about 11078.9349668639. The cubic root of 122742800 is about 496.9721006650.

The spelling of 122742800 in words is "one hundred twenty-two million, seven hundred forty-two thousand, eight hundred".