12311136 has 48 divisors (see below), whose sum is σ = 35910000. Its totient is φ = 4103424.

The previous prime is 12311119. The next prime is 12311137. The reversal of 12311136 is 63111321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12311136² = 303128139220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6261 + ... + 7988.

It is an arithmetic number, because the mean of its divisors is an integer number (748125).

Almost surely, 2^12311136 is an apocalyptic number.

12311136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12311136 is an abundant number, since it is smaller than the sum of its proper divisors (23598864).

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

12311136 is a wasteful number, since it uses less digits than its factorization.

12311136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268 (or 14254 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 12311136 is about 3508.7228445689. The cubic root of 12311136 is about 230.9046663452.

Adding to 12311136 its reverse (63111321), we get a palindrome (75422457).

The spelling of 12311136 in words is "twelve million, three hundred eleven thousand, one hundred thirty-six".