22112012211000 has 512 divisors, whose sum is σ = 71998902743040. Its totient is φ = 5645376000000.

The previous prime is 22112012210989. The next prime is 22112012211007. The reversal of 22112012211000 is 11221021122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112012211007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2233306050 + ... + 2233315950.

It is an arithmetic number, because the mean of its divisors is an integer number (140622856920).

Almost surely, 2^{22112012211000} is an apocalyptic number.

22112012211000 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 22112012211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35999451371520).

22112012211000 is an abundant number, since it is smaller than the sum of its proper divisors (49886890532040).

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

22112012211000 is a wasteful number, since it uses less digits than its factorization.

22112012211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22112012211000 its reverse (11221021122), we get a palindrome (22123233232122).

It can be divided in two parts, 221120122 and 11000, that added together give a palindrome (221131122).

The spelling of 22112012211000 in words is "twenty-two trillion, one hundred twelve billion, twelve million, two hundred eleven thousand".