112212012121 has 12 divisors (see below), whose sum is σ = 124561682532. Its totient is φ = 101000900000.

The previous prime is 112212012089. The next prime is 112212012127. The reversal of 112212012121 is 121210212211.

It can be written as a sum of positive squares in 2 ways, for example, as 107099762121 + 5112250000 = 327261^2 + 71500^2 .

It is not a de Polignac number, because 112212012121 - 2⁵ = 112212012089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112212012095 and 112212012104.

It is not an unprimeable number, because it can be changed into a prime (112212012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4578730 + ... + 4603171.

It is an arithmetic number, because the mean of its divisors is an integer number (10380140211).

Almost surely, 2^112212012121 is an apocalyptic number.

112212012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112212012121 is a deficient number, since it is larger than the sum of its proper divisors (12349670411).

112212012121 is a wasteful number, since it uses less digits than its factorization.

112212012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182024 (or 9182013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112212012121 its reverse (121210212211), we get a palindrome (233422224332).

The spelling of 112212012121 in words is "one hundred twelve billion, two hundred twelve million, twelve thousand, one hundred twenty-one".