122823200 has 36 divisors (see below), whose sum is σ = 299844090. Its totient is φ = 49128960.

The previous prime is 122823199. The next prime is 122823223. The reversal of 122823200 is 2328221.

122823200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 99281296 + 23541904 = 9964^2 + 4852^2 .

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

It is a nialpdrome in base 16.

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, 75965 + ... + 77564.

Almost surely, 2^122823200 is an apocalyptic number.

122823200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122823200 is an abundant number, since it is smaller than the sum of its proper divisors (177020890).

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

122823200 is a wasteful number, since it uses less digits than its factorization.

122823200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153549 (or 153536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122823200 is about 11082.5628804893. The cubic root of 122823200 is about 497.0805872343.

The spelling of 122823200 in words is "one hundred twenty-two million, eight hundred twenty-three thousand, two hundred".