12122230011100 has 108 divisors (see below), whose sum is σ = 28917255630312. Its totient is φ = 4407590844800.

The previous prime is 12122230011091. The next prime is 12122230011113. The reversal of 12122230011100 is 111003222121.

It is a super-2 number, since 2×12122230011100² (a number of 27 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 118565202 + ... + 118667398.

Almost surely, 2^{12122230011100} is an apocalyptic number.

12122230011100 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 12122230011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458627815156).

12122230011100 is an abundant number, since it is smaller than the sum of its proper divisors (16795025619212).

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

12122230011100 is a wasteful number, since it uses less digits than its factorization.

12122230011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112036 (or 112018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12122230011100 its reverse (111003222121), we get a palindrome (12233233233221).

The spelling of 12122230011100 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty million, eleven thousand, one hundred".