222112220202000 has 320 divisors, whose sum is σ = 795733855488000. Its totient is φ = 59224079923200.

The previous prime is 222112220201983. The next prime is 222112220202031. The reversal of 222112220202000 is 202022211222.

222112220202000 is a `hidden beast` number, since 2 + 221 + 1 + 2 + 220 + 20 + 200 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 561348232 + ... + 561743768.

It is an arithmetic number, because the mean of its divisors is an integer number (2486668298400).

Almost surely, 2^{222112220202000} is an apocalyptic number.

222112220202000 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 222112220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397866927744000).

222112220202000 is an abundant number, since it is smaller than the sum of its proper divisors (573621635286000).

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

222112220202000 is a wasteful number, since it uses less digits than its factorization.

222112220202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405968 (or 405946 counting only the distinct ones).

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

Adding to 222112220202000 its reverse (202022211222), we get a palindrome (222314242413222).

The spelling of 222112220202000 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, two hundred two thousand".