22111122000000 has 1792 divisors, whose sum is σ = 84271321313280. Its totient is φ = 5088000000000.

The previous prime is 22111121999957. The next prime is 22111122000029. The reversal of 22111122000000 is 22111122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22111122000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 206645999947 + ... + 206646000053.

Almost surely, 2^{22111122000000} is an apocalyptic number.

22111122000000 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 22111122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135660656640).

22111122000000 is an abundant number, since it is smaller than the sum of its proper divisors (62160199313280).

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

22111122000000 is a wasteful number, since it uses less digits than its factorization.

22111122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22111122000000 its reverse (22111122), we get a palindrome (22111144111122).

22111122000000 divided by its reverse (22111122) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 221111 and 22000000, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 22111122000000 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million", and thus it is an aban number.