222121222221200 has 240 divisors, whose sum is σ = 560311723468800. Its totient is φ = 84457518604800.

The previous prime is 222121222221187. The next prime is 222121222221263. The reversal of 222121222221200 is 2122222121222.

It is a super-2 number, since 2×222121222221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 2666127545 + ... + 2666210855.

It is an arithmetic number, because the mean of its divisors is an integer number (2334632181120).

Almost surely, 2^{222121222221200} is an apocalyptic number.

222121222221200 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 222121222221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280155861734400).

222121222221200 is an abundant number, since it is smaller than the sum of its proper divisors (338190501247600).

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

222121222221200 is a wasteful number, since it uses less digits than its factorization.

222121222221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85150 (or 85139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 222121222221200 its reverse (2122222121222), we get a palindrome (224243444342422).

The spelling of 222121222221200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".