22221200001000 has 1536 divisors, whose sum is σ = 96332041128960. Its totient is φ = 4146785280000.

The previous prime is 22221200000959. The next prime is 22221200001047. The reversal of 22221200001000 is 10000212222.

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 383 ways as a sum of consecutive naturals, for example, 1222211910 + ... + 1222230090.

It is an arithmetic number, because the mean of its divisors is an integer number (62716172610).

Almost surely, 2^{22221200001000} is an apocalyptic number.

22221200001000 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 22221200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48166020564480).

22221200001000 is an abundant number, since it is smaller than the sum of its proper divisors (74110841127960).

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

22221200001000 is a wasteful number, since it uses less digits than its factorization.

22221200001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22221200001000 its reverse (10000212222), we get a palindrome (22231200213222).

The spelling of 22221200001000 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred million, one thousand".