112122221211 has 144 divisors (see below), whose sum is σ = 223509581568. Its totient is φ = 52306041600.

The previous prime is 112122221173. The next prime is 112122221213.

112122221211 is a `hidden beast` number, since 112 + 122 + 221 + 211 = 666.

112122221211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112122221211 - 2⁷ = 112122221083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122221213) 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, 12328776 + ... + 12337866.

It is an arithmetic number, because the mean of its divisors is an integer number (1552149872).

Almost surely, 2^112122221211 is an apocalyptic number.

112122221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122221211 is a deficient number, since it is larger than the sum of its proper divisors (111387360357).

112122221211 is a wasteful number, since it uses less digits than its factorization.

112122221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202 (or 9162 counting only the distinct ones).

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

It can be divided in two parts, 112122 and 221211, that added together give a palindrome (333333).

The spelling of 112122221211 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred eleven".