22202121121200 has 360 divisors, whose sum is σ = 79234236365856. Its totient is φ = 5752954368000.

The previous prime is 22202121121171. The next prime is 22202121121253. The reversal of 22202121121200 is 212112120222.

It is a happy number.

22202121121200 is a `hidden beast` number, since 2 + 220 + 2 + 121 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101255685 + ... + 101474715.

Almost surely, 2^{22202121121200} is an apocalyptic number.

22202121121200 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 22202121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39617118182928).

22202121121200 is an abundant number, since it is smaller than the sum of its proper divisors (57032115244656).

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

22202121121200 is a wasteful number, since it uses less digits than its factorization.

22202121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219853 (or 219839 counting only the distinct ones).

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

Adding to 22202121121200 its reverse (212112120222), we get a palindrome (22414233241422).

The spelling of 22202121121200 in words is "twenty-two trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".