222121220101200 has 1200 divisors, whose sum is σ = 968062432360320. Its totient is φ = 47614978621440.

The previous prime is 222121220101171. The next prime is 222121220101219. The reversal of 222121220101200 is 2101022121222.

It is a happy number.

222121220101200 is a `hidden beast` number, since 2 + 22 + 121 + 220 + 101 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1091033016 + ... + 1091236584.

Almost surely, 2^{222121220101200} is an apocalyptic number.

222121220101200 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 222121220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484031216180160).

222121220101200 is an abundant number, since it is smaller than the sum of its proper divisors (745941212259120).

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

222121220101200 is a wasteful number, since it uses less digits than its factorization.

222121220101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203906 (or 203886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222121220101200 its reverse (2101022121222), we get a palindrome (224222242222422).

The spelling of 222121220101200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, two hundred".