220021120002222 has 192 divisors, whose sum is σ = 617926089650688. Its totient is φ = 54922323456000.

The previous prime is 220021120002217. The next prime is 220021120002227. The reversal of 220021120002222 is 222200021120022.

220021120002222 is a `hidden beast` number, since 220 + 0 + 21 + 1 + 200 + 0 + 2 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (220021120002217) and next prime (220021120002227).

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

It is a junction number, because it is equal to n+sod(n) for n = 220021120002195 and 220021120002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021120002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25086979 + ... + 32701662.

It is an arithmetic number, because the mean of its divisors is an integer number (3218365050264).

Almost surely, 2^{220021120002222} is an apocalyptic number.

220021120002222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220021120002222 is an abundant number, since it is smaller than the sum of its proper divisors (397904969648466).

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

220021120002222 is a wasteful number, since it uses less digits than its factorization.

220021120002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57788775 (or 57788772 counting only the distinct ones).

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

Adding to 220021120002222 its reverse (222200021120022), we get a palindrome (442221141122244).

The spelling of 220021120002222 in words is "two hundred twenty trillion, twenty-one billion, one hundred twenty million, two thousand, two hundred twenty-two".