220222122210000 has 150 divisors (see below), whose sum is σ = 770148571545210. Its totient is φ = 58725899232000.

The previous prime is 220222122209989. The next prime is 220222122210043. The reversal of 220222122210000 is 12221222022.

220222122210000 is a `hidden beast` number, since 220 + 2 + 221 + 2 + 221 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 66238047032976 + 153984075177024 = 8138676^2 + 12409032^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×220222122210000² (a number of 29 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1223366235 + ... + 1223546234.

Almost surely, 2^{220222122210000} is an apocalyptic number.

220222122210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222122210000 is an abundant number, since it is smaller than the sum of its proper divisors (549926449335210).

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

220222122210000 is a wasteful number, since it uses less digits than its factorization.

220222122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446912503 (or 2446912479 counting only the distinct ones).

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

Adding to 220222122210000 its reverse (12221222022), we get a palindrome (220234343432022).

The spelling of 220222122210000 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand".