222202210120002 has 256 divisors, whose sum is σ = 567597735936000. Its totient is φ = 63119358050112.

The previous prime is 222202210119937. The next prime is 222202210120003. The reversal of 222202210120002 is 200021012202222.

222202210120002 is a `hidden beast` number, since 22 + 220 + 221 + 0 + 1 + 200 + 0 + 2 = 666.

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 (222202210120003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75604697449 + ... + 75604700387.

It is an arithmetic number, because the mean of its divisors is an integer number (2217178656000).

Almost surely, 2^{222202210120002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222202210120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283798867968000).

222202210120002 is an abundant number, since it is smaller than the sum of its proper divisors (345395525815998).

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

222202210120002 is a wasteful number, since it uses less digits than its factorization.

222202210120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222202210120002 its reverse (200021012202222), we get a palindrome (422223222322224).

The spelling of 222202210120002 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred ten million, one hundred twenty thousand, two".