221112000211122 has 48 divisors (see below), whose sum is σ = 508990345358040. Its totient is φ = 69239172473856.

The previous prime is 221112000211079. The next prime is 221112000211139.

221112000211122 is a `hidden beast` number, since 2 + 211 + 120 + 0 + 0 + 211 + 122 = 666.

221112000211122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 209163356675361 + 11948643535761 = 14462481^2 + 3456681^2 .

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 = 221112000211095 and 221112000211104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724118623 + ... + 5724157250.

Almost surely, 2^{221112000211122} is an apocalyptic number.

221112000211122 is an abundant number, since it is smaller than the sum of its proper divisors (287878345146918).

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

221112000211122 is a wasteful number, since it uses less digits than its factorization.

221112000211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448275947 (or 11448275944 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, 221112000 and 211122, that added together give a palindrome (221323122).

The spelling of 221112000211122 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred eleven thousand, one hundred twenty-two".