122330100 has 72 divisors (see below), whose sum is σ = 369351360. Its totient is φ = 31201280.

The previous prime is 122330063. The next prime is 122330111. The reversal of 122330100 is 1033221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1965 + ... + 15764.

It is an arithmetic number, because the mean of its divisors is an integer number (5129880).

Almost surely, 2^122330100 is an apocalyptic number.

122330100 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 122330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184675680).

122330100 is an abundant number, since it is smaller than the sum of its proper divisors (247021260).

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

122330100 is a wasteful number, since it uses less digits than its factorization.

122330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17769 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 122330100 is about 11060.2938478144. The cubic root of 122330100 is about 496.4144829282.

Adding to 122330100 its reverse (1033221), we get a palindrome (123363321).

The spelling of 122330100 in words is "one hundred twenty-two million, three hundred thirty thousand, one hundred".