122244100 has 72 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 42105600.

The previous prime is 122244097. The next prime is 122244137. The reversal of 122244100 is 1442221.

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, 17976 + ... + 23824.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2^122244100 is an apocalyptic number.

122244100 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 122244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

122244100 is an abundant number, since it is smaller than the sum of its proper divisors (182423900).

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

122244100 is a wasteful number, since it uses less digits than its factorization.

122244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122244100 is about 11056.4053833061. The cubic root of 122244100 is about 496.2981265729.

Adding to 122244100 its reverse (1442221), we get a palindrome (123686321).

The spelling of 122244100 in words is "one hundred twenty-two million, two hundred forty-four thousand, one hundred".