22100000120000 has 280 divisors, whose sum is σ = 59887007835600. Its totient is φ = 8022343680000.

The previous prime is 22100000119961. The next prime is 22100000120057. The reversal of 22100000120000 is 2100000122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22100000120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253836476 + ... + 253923524.

Almost surely, 2^{22100000120000} is an apocalyptic number.

22100000120000 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 22100000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29943503917800).

22100000120000 is an abundant number, since it is smaller than the sum of its proper divisors (37787007715600).

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

22100000120000 is an equidigital number, since it uses as much as digits as its factorization.

22100000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87669 (or 87644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22100000120000 its reverse (2100000122), we get a palindrome (22102100120122).

The spelling of 22100000120000 in words is "twenty-two trillion, one hundred billion, one hundred twenty thousand".