221112211122 has 48 divisors (see below), whose sum is σ = 536753984832. Its totient is φ = 65192787360.

The previous prime is 221112211121. The next prime is 221112211193.

221112211122 is a `hidden beast` number, since 221 + 112 + 211 + 122 = 666.

221112211122 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221112211095 and 221112211104.

It is not an unprimeable number, because it can be changed into a prime (221112211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15083598 + ... + 15098249.

It is an arithmetic number, because the mean of its divisors is an integer number (11182374684).

Almost surely, 2^221112211122 is an apocalyptic number.

221112211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221112211122 is an abundant number, since it is smaller than the sum of its proper divisors (315641773710).

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

221112211122 is a wasteful number, since it uses less digits than its factorization.

221112211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30181903 (or 30181900 counting only the distinct ones).

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

It can be divided in two parts, 221112 and 211122, that added together give a palindrome (432234).

The spelling of 221112211122 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".