22000211100000 has 2592 divisors, whose sum is σ = 95066762525280. Its totient is φ = 4807434240000.

The previous prime is 22000211099921. The next prime is 22000211100029. The reversal of 22000211100000 is 111200022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 158274899931 + ... + 158274900069.

It is an arithmetic number, because the mean of its divisors is an integer number (36676991715).

Almost surely, 2^{22000211100000} is an apocalyptic number.

22000211100000 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 22000211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47533381262640).

22000211100000 is an abundant number, since it is smaller than the sum of its proper divisors (73066551425280).

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

22000211100000 is a wasteful number, since it uses less digits than its factorization.

22000211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22000211100000 its reverse (111200022), we get a palindrome (22000322300022).

The spelling of 22000211100000 in words is "twenty-two trillion, two hundred eleven million, one hundred thousand".