122068800 has 378 divisors, whose sum is σ = 507613158. Its totient is φ = 27740160.

The previous prime is 122068799. The next prime is 122068831. The reversal of 122068800 is 8860221.

It can be written as a sum of positive squares in 3 ways, for example, as 27123264 + 94945536 = 5208^2 + 9744^2 .

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 53 ways as a sum of consecutive naturals, for example, 705514 + ... + 705686.

Almost surely, 2^122068800 is an apocalyptic number.

122068800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253806579).

122068800 is an abundant number, since it is smaller than the sum of its proper divisors (385544358).

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

122068800 is a wasteful number, since it uses less digits than its factorization.

122068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122068800 is about 11048.4750078914. The cubic root of 122068800 is about 496.0607799260.

The spelling of 122068800 in words is "one hundred twenty-two million, sixty-eight thousand, eight hundred".