12112412240 has 80 divisors (see below), whose sum is σ = 28799080848. Its totient is φ = 4735930368.

The previous prime is 12112412233. The next prime is 12112412243. The reversal of 12112412240 is 4221421121.

It can be written as a sum of positive squares in 8 ways, for example, as 386987584 + 11725424656 = 19672^2 + 108284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112412243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169324 + ... + 1179636.

Almost surely, 2^12112412240 is an apocalyptic number.

12112412240 is a gapful number since it is divisible by the number (10) 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 12112412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399540424).

12112412240 is an abundant number, since it is smaller than the sum of its proper divisors (16686668608).

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

12112412240 is a wasteful number, since it uses less digits than its factorization.

12112412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12112412240 its reverse (4221421121), we get a palindrome (16333833361).

The spelling of 12112412240 in words is "twelve billion, one hundred twelve million, four hundred twelve thousand, two hundred forty".