12112464 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3073536.

The previous prime is 12112453. The next prime is 12112469. The reversal of 12112464 is 46421121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12112464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205267 + ... + 205325.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^12112464 is an apocalyptic number.

12112464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12112464 is an abundant number, since it is smaller than the sum of its proper divisors (27884976).

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

12112464 is a wasteful number, since it uses less digits than its factorization.

12112464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12112464 is about 3480.2965390897. The cubic root of 12112464 is about 229.6558431913.

Adding to 12112464 its reverse (46421121), we get a palindrome (58533585).

The spelling of 12112464 in words is "twelve million, one hundred twelve thousand, four hundred sixty-four".