220011002122122 has 12 divisors (see below), whose sum is σ = 476690504597970. Its totient is φ = 73337000707368.

The previous prime is 220011002122003. The next prime is 220011002122169. The reversal of 220011002122122 is 221221200110022.

It is a happy number.

220011002122122 is a `hidden beast` number, since 220 + 0 + 110 + 0 + 212 + 2 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142887811837761 + 77123190284361 = 11953569^2 + 8781981^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12222833451229 = 220011002122122 / (2 + 2 + 0 + 0 + 1 + 1 + 0 + 0 + 2 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220011002122095 and 220011002122104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6111416725597 + ... + 6111416725632.

Almost surely, 2^{220011002122122} is an apocalyptic number.

220011002122122 is an abundant number, since it is smaller than the sum of its proper divisors (256679502475848).

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

220011002122122 is a wasteful number, since it uses less digits than its factorization.

220011002122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222833451237 (or 12222833451234 counting only the distinct ones).

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

Adding to 220011002122122 its reverse (221221200110022), we get a palindrome (441232202232144).

The spelling of 220011002122122 in words is "two hundred twenty trillion, eleven billion, two million, one hundred twenty-two thousand, one hundred twenty-two".