122112211111100 has 144 divisors (see below), whose sum is σ = 309477160194048. Its totient is φ = 40950352988160.

The previous prime is 122112211111057. The next prime is 122112211111141. The reversal of 122112211111100 is 1111112211221.

It is a super-2 number, since 2×122112211111100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50908364 + ... + 53253036.

It is an arithmetic number, because the mean of its divisors is an integer number (2149146945792).

Almost surely, 2^{122112211111100} is an apocalyptic number.

122112211111100 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 122112211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154738580097024).

122112211111100 is an abundant number, since it is smaller than the sum of its proper divisors (187364949082948).

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

122112211111100 is a wasteful number, since it uses less digits than its factorization.

122112211111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346324 (or 2346317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 122112211111100 its reverse (1111112211221), we get a palindrome (123223323322321).

The spelling of 122112211111100 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred".