222121101121200 has 360 divisors, whose sum is σ = 771806539563696. Its totient is φ = 59156683776000.

The previous prime is 222121101121189. The next prime is 222121101121201. The reversal of 222121101121200 is 2121101121222.

222121101121200 is a `hidden beast` number, since 2 + 221 + 21 + 101 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222121101121201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9485451892 + ... + 9485475308.

Almost surely, 2^{222121101121200} is an apocalyptic number.

222121101121200 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 222121101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385903269781848).

222121101121200 is an abundant number, since it is smaller than the sum of its proper divisors (549685438442496).

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

222121101121200 is a wasteful number, since it uses less digits than its factorization.

222121101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26693 (or 26679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222121101121200 its reverse (2121101121222), we get a palindrome (224242202242422).

The spelling of 222121101121200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred".