222121231003200 has 672 divisors, whose sum is σ = 755866960704000. Its totient is φ = 57061928632320.

The previous prime is 222121231003183. The next prime is 222121231003201. The reversal of 222121231003200 is 2300132121222.

It is not an unprimeable number, because it can be changed into a prime (222121231003201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8388567561 + ... + 8388594039.

Almost surely, 2^{222121231003200} is an apocalyptic number.

222121231003200 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 222121231003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377933480352000).

222121231003200 is an abundant number, since it is smaller than the sum of its proper divisors (533745729700800).

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

222121231003200 is a wasteful number, since it uses less digits than its factorization.

222121231003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27007 (or 26992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 222121231003200 its reverse (2300132121222), we get a palindrome (224421363124422).

The spelling of 222121231003200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred thirty-one million, three thousand, two hundred".