22121101200000 has 768 divisors, whose sum is σ = 82288269463680. Its totient is φ = 5217638400000.

The previous prime is 22121101199993. The next prime is 22121101200013. The reversal of 22121101200000 is 210112122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488377354 + ... + 488422646.

Almost surely, 2^{22121101200000} is an apocalyptic number.

22121101200000 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 22121101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41144134731840).

22121101200000 is an abundant number, since it is smaller than the sum of its proper divisors (60167168263680).

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

22121101200000 is an equidigital number, since it uses as much as digits as its factorization.

22121101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45383 (or 45351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22121101200000 its reverse (210112122), we get a palindrome (22121311312122).

The spelling of 22121101200000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, two hundred thousand".