22122100000000 has 1944 divisors, whose sum is σ = 78901553352384. Its totient is φ = 5990400000000.

The previous prime is 22122099999991. The next prime is 22122100000001. The reversal of 22122100000000 is 122122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122100000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1301299999992 + ... + 1301300000008.

Almost surely, 2^{22122100000000} is an apocalyptic number.

22122100000000 is a gapful number since it is divisible by the number (20) 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 22122100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39450776676192).

22122100000000 is an abundant number, since it is smaller than the sum of its proper divisors (56779453352384).

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

22122100000000 is an frugal number, since it uses more digits than its factorization.

22122100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22122100000000 its reverse (122122), we get a palindrome (22122100122122).

It can be divided in two parts, 221 and 22100000000, that multiplied together give a square (4884100000000 = 2210000²).

The spelling of 22122100000000 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million", and thus it is an aban number.