122302204200 has 288 divisors, whose sum is σ = 448671506400. Its totient is φ = 29609280000.

The previous prime is 122302204181. The next prime is 122302204217. The reversal of 122302204200 is 2402203221.

122302204200 is a `hidden beast` number, since 1 + 2 + 23 + 0 + 220 + 420 + 0 = 666.

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

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, 16410475 + ... + 16417925.

It is an arithmetic number, because the mean of its divisors is an integer number (1557887175).

Almost surely, 2^122302204200 is an apocalyptic number.

122302204200 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 122302204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224335753200).

122302204200 is an abundant number, since it is smaller than the sum of its proper divisors (326369302200).

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

122302204200 is a wasteful number, since it uses less digits than its factorization.

122302204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122302204200 its reverse (2402203221), we get a palindrome (124704407421).

The spelling of 122302204200 in words is "one hundred twenty-two billion, three hundred two million, two hundred four thousand, two hundred".