22121001210000 has 800 divisors, whose sum is σ = 89087654025216. Its totient is φ = 4593600000000.

The previous prime is 22121001209971. The next prime is 22121001210031. The reversal of 22121001210000 is 1210012122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6932308405 + ... + 6932311595.

Almost surely, 2^{22121001210000} is an apocalyptic number.

22121001210000 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 22121001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44543827012608).

22121001210000 is an abundant number, since it is smaller than the sum of its proper divisors (66966652815216).

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

22121001210000 is a wasteful number, since it uses less digits than its factorization.

22121001210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6220 counting only the distinct ones).

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

Adding to 22121001210000 its reverse (1210012122), we get a palindrome (22122211222122).

The spelling of 22121001210000 in words is "twenty-two trillion, one hundred twenty-one billion, one million, two hundred ten thousand".