12440431120 has 80 divisors (see below), whose sum is σ = 31179723120. Its totient is φ = 4588849152.

The previous prime is 12440431103. The next prime is 12440431121. The reversal of 12440431120 is 2113404421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 804062736 + 11636368384 = 28356^2 + 107872^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12440431091 and 12440431100.

It is not an unprimeable number, because it can be changed into a prime (12440431121) 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, 1156326 + ... + 1167034.

It is an arithmetic number, because the mean of its divisors is an integer number (389746539).

Almost surely, 2^12440431120 is an apocalyptic number.

12440431120 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 12440431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589861560).

12440431120 is an abundant number, since it is smaller than the sum of its proper divisors (18739292000).

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

12440431120 is a wasteful number, since it uses less digits than its factorization.

12440431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12440431120 its reverse (2113404421), we get a palindrome (14553835541).

The spelling of 12440431120 in words is "twelve billion, four hundred forty million, four hundred thirty-one thousand, one hundred twenty".