12122101122112 has 28 divisors (see below), whose sum is σ = 24090325954380. Its totient is φ = 6052097732096.

The previous prime is 12122101122107. The next prime is 12122101122133. The reversal of 12122101122112 is 21122110122121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11019903501376 + 1102197620736 = 3319624^2 + 1049856^2 .

It is a super-2 number, since 2×12122101122112² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12122101122112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139844287 + ... + 139930942.

It is an arithmetic number, because the mean of its divisors is an integer number (860368784085).

Almost surely, 2^{12122101122112} is an apocalyptic number.

It is an amenable number.

12122101122112 is a deficient number, since it is larger than the sum of its proper divisors (11968224832268).

12122101122112 is an equidigital number, since it uses as much as digits as its factorization.

12122101122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279775918 (or 279775908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122101122112 its reverse (21122110122121), we get a palindrome (33244211244233).

Subtracting 12122101122112 from its reverse (21122110122121), we obtain a palindrome (9000009000009).

The spelling of 12122101122112 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".