22121211122112 has 224 divisors, whose sum is σ = 61277005004800. Its totient is φ = 7034410967040.

The previous prime is 22121211122057. The next prime is 22121211122123. The reversal of 22121211122112 is 21122111212122.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 892007889 + ... + 892032687.

Almost surely, 2^{22121211122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638502502400).

22121211122112 is an abundant number, since it is smaller than the sum of its proper divisors (39155793882688).

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

22121211122112 is a wasteful number, since it uses less digits than its factorization.

22121211122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26971 (or 26961 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 22121211122112 its reverse (21122111212122), we get a palindrome (43243322334234).

The spelling of 22121211122112 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".