121311312 has 40 divisors (see below), whose sum is σ = 314667360. Its totient is φ = 40272000.

The previous prime is 121311293. The next prime is 121311313. The reversal of 121311312 is 213113121.

It is a happy number.

It is a super-2 number, since 2×121311312² = 29432868838322688, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121311291 and 121311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7014 + ... + 17082.

It is an arithmetic number, because the mean of its divisors is an integer number (7866684).

Almost surely, 2^121311312 is an apocalyptic number.

121311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121311312 is an abundant number, since it is smaller than the sum of its proper divisors (193356048).

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

121311312 is a wasteful number, since it uses less digits than its factorization.

121311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10325 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 121311312 is about 11014.1414554199. The cubic root of 121311312 is about 495.0325618821.

Adding to 121311312 its reverse (213113121), we get a palindrome (334424433).

The spelling of 121311312 in words is "one hundred twenty-one million, three hundred eleven thousand, three hundred twelve".