122112211221 has 144 divisors (see below), whose sum is σ = 243421895808. Its totient is φ = 56966976000.

The previous prime is 122112211219. The next prime is 122112211313.

122112211221 is a `hidden beast` number, since 1 + 221 + 1 + 221 + 1 + 221 = 666.

122112211221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122112211221 - 2¹ = 122112211219 is a prime.

It is a super-2 number, since 2×122112211221² (a number of 23 digits) contains 22 as substring.

122112211221 is a modest number, since divided by 12211221 gives 1221 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 122112211194 and 122112211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112211021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12328371 + ... + 12338271.

It is an arithmetic number, because the mean of its divisors is an integer number (1690429832).

Almost surely, 2^122112211221 is an apocalyptic number.

122112211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112211221 is a deficient number, since it is larger than the sum of its proper divisors (121309684587).

122112211221 is a wasteful number, since it uses less digits than its factorization.

122112211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012 (or 9972 counting only the distinct ones).

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

It can be divided in two parts, 122112 and 211221, that added together give a palindrome (333333).

The spelling of 122112211221 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty-one".