122950800 has 540 divisors, whose sum is σ = 538348356. Its totient is φ = 25804800.

The previous prime is 122950753. The next prime is 122950853. The reversal of 122950800 is 8059221.

It can be written as a sum of positive squares in 6 ways, for example, as 9144576 + 113806224 = 3024^2 + 10668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998780 + ... + 2998820.

Almost surely, 2^122950800 is an apocalyptic number.

122950800 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 122950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269174178).

122950800 is an abundant number, since it is smaller than the sum of its proper divisors (415397556).

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

122950800 is a wasteful number, since it uses less digits than its factorization.

122950800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 122950800 is about 11088.3181772530. The cubic root of 122950800 is about 497.2526652859.

The spelling of 122950800 in words is "one hundred twenty-two million, nine hundred fifty thousand, eight hundred".