122302330200 has 144 divisors (see below), whose sum is σ = 410930975520. Its totient is φ = 32598155520.

The previous prime is 122302330187. The next prime is 122302330211. The reversal of 122302330200 is 2033203221.

It is a happy number.

122302330200 is a `hidden beast` number, since 1 + 2 + 230 + 233 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3968049 + ... + 3998751.

It is an arithmetic number, because the mean of its divisors is an integer number (2853687330).

Almost surely, 2^122302330200 is an apocalyptic number.

122302330200 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 122302330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205465487760).

122302330200 is an abundant number, since it is smaller than the sum of its proper divisors (288628645320).

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

122302330200 is a wasteful number, since it uses less digits than its factorization.

122302330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32938 (or 32926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 122302330200 its reverse (2033203221), we get a palindrome (124335533421).

The spelling of 122302330200 in words is "one hundred twenty-two billion, three hundred two million, three hundred thirty thousand, two hundred".