22111122202000 has 320 divisors, whose sum is σ = 58219801069248. Its totient is φ = 8073216000000.

The previous prime is 22111122201929. The next prime is 22111122202003. The reversal of 22111122202000 is 20222111122.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 14823454815376 + 7287667386624 = 3850124^2 + 2699568^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22111122202003) 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 63 ways as a sum of consecutive naturals, for example, 2302997200 + ... + 2303006800.

Almost surely, 2^{22111122202000} is an apocalyptic number.

22111122202000 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 22111122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29109900534624).

22111122202000 is an abundant number, since it is smaller than the sum of its proper divisors (36108678867248).

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

22111122202000 is a wasteful number, since it uses less digits than its factorization.

22111122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22111122202000 its reverse (20222111122), we get a palindrome (22131344313122).

The spelling of 22111122202000 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred two thousand".