122222221900 has 72 divisors (see below), whose sum is σ = 267777861120. Its totient is φ = 48419159040.

The previous prime is 122222221883. The next prime is 122222221921. The reversal of 122222221900 is 9122222221.

122222221900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122222221900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 7522986 + ... + 7539214.

It is an arithmetic number, because the mean of its divisors is an integer number (3719136960).

Almost surely, 2^122222221900 is an apocalyptic number.

122222221900 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 122222221900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133888930560).

122222221900 is an abundant number, since it is smaller than the sum of its proper divisors (145555639220).

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

122222221900 is a wasteful number, since it uses less digits than its factorization.

122222221900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16963 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 122222221900 in words is "one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, nine hundred".