122201010022200 has 384 divisors, whose sum is σ = 402545310897600. Its totient is φ = 30607733882880.

The previous prime is 122201010022177. The next prime is 122201010022283. The reversal of 122201010022200 is 2220010102221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122201010022200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5071200552 + ... + 5071224648.

Almost surely, 2^{122201010022200} is an apocalyptic number.

122201010022200 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 122201010022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201272655448800).

122201010022200 is an abundant number, since it is smaller than the sum of its proper divisors (280344300875400).

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

122201010022200 is a wasteful number, since it uses less digits than its factorization.

122201010022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32059 (or 32050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122201010022200 its reverse (2220010102221), we get a palindrome (124421020124421).

The spelling of 122201010022200 in words is "one hundred twenty-two trillion, two hundred one billion, ten million, twenty-two thousand, two hundred".