22211400211000 has 768 divisors, whose sum is σ = 72582120898560. Its totient is φ = 6184252800000.

The previous prime is 22211400210983. The next prime is 22211400211139. The reversal of 22211400211000 is 11200411222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341308465 + ... + 341373535.

It is an arithmetic number, because the mean of its divisors is an integer number (94507969920).

Almost surely, 2^{22211400211000} is an apocalyptic number.

22211400211000 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 22211400211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36291060449280).

22211400211000 is an abundant number, since it is smaller than the sum of its proper divisors (50370720687560).

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

22211400211000 is a wasteful number, since it uses less digits than its factorization.

22211400211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65165 (or 65140 counting only the distinct ones).

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

Adding to 22211400211000 its reverse (11200411222), we get a palindrome (22222600622222).

The spelling of 22211400211000 in words is "twenty-two trillion, two hundred eleven billion, four hundred million, two hundred eleven thousand".