22121221100000 has 288 divisors, whose sum is σ = 62877374152992. Its totient is φ = 7570892800000.

The previous prime is 22121221099931. The next prime is 22121221100029. The reversal of 22121221100000 is 112212122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18108524 + ... + 19291476.

It is an arithmetic number, because the mean of its divisors is an integer number (218324215809).

Almost surely, 2^{22121221100000} is an apocalyptic number.

22121221100000 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 22121221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31438687076496).

22121221100000 is an abundant number, since it is smaller than the sum of its proper divisors (40756153052992).

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

22121221100000 is a wasteful number, since it uses less digits than its factorization.

22121221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183016 (or 1182988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22121221100000 its reverse (112212122), we get a palindrome (22121333312122).

The spelling of 22121221100000 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand".