122211000112221 has 12 divisors (see below), whose sum is σ = 181298000166972. Its totient is φ = 79272000072576.

The previous prime is 122211000112183. The next prime is 122211000112261.

122211000112221 is a `hidden beast` number, since 1 + 222 + 110 + 0 + 0 + 112 + 221 = 666.

122211000112221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 88274386748025 + 33936613364196 = 9395445^2 + 5825514^2 .

It is not a de Polignac number, because 122211000112221 - 2⁷ = 122211000112093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122211000112194 and 122211000112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211000112261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183499999836 + ... + 183500000501.

It is an arithmetic number, because the mean of its divisors is an integer number (15108166680581).

Almost surely, 2^{122211000112221} is an apocalyptic number.

It is an amenable number.

122211000112221 is a deficient number, since it is larger than the sum of its proper divisors (59087000054751).

122211000112221 is a wasteful number, since it uses less digits than its factorization.

122211000112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367000000380 (or 367000000377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 122211000 and 112221, that added together give a palindrome (122323221).

The spelling of 122211000112221 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twelve thousand, two hundred twenty-one".