122259800 has 96 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 44321280.

The previous prime is 122259763. The next prime is 122259857. The reversal of 122259800 is 8952221.

It is a super-3 number, since 3×122259800³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153002 + ... + 153798.

Almost surely, 2^122259800 is an apocalyptic number.

122259800 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 122259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

122259800 is an abundant number, since it is smaller than the sum of its proper divisors (189439000).

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

122259800 is a wasteful number, since it uses less digits than its factorization.

122259800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 122259800 is about 11057.1153561858. The cubic root of 122259800 is about 496.3193724436.

The spelling of 122259800 in words is "one hundred twenty-two million, two hundred fifty-nine thousand, eight hundred".