122938200 has 288 divisors, whose sum is σ = 515324160. Its totient is φ = 25516800.

The previous prime is 122938199. The next prime is 122938223. The reversal of 122938200 is 2839221.

It is a happy number.

It is a super-2 number, since 2×122938200² = 30227602038480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138157 + ... + 139043.

It is an arithmetic number, because the mean of its divisors is an integer number (1789320).

Almost surely, 2^122938200 is an apocalyptic number.

122938200 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 122938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257662080).

122938200 is an abundant number, since it is smaller than the sum of its proper divisors (392385960).

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

122938200 is a wasteful number, since it uses less digits than its factorization.

122938200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122938200 is about 11087.7499971816. The cubic root of 122938200 is about 497.2356785518.

The spelling of 122938200 in words is "one hundred twenty-two million, nine hundred thirty-eight thousand, two hundred".