12420331440 has 160 divisors (see below), whose sum is σ = 42042951936. Its totient is φ = 3008148480.

The previous prime is 12420331403. The next prime is 12420331447. The reversal of 12420331440 is 4413302421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12420331440.

It is not an unprimeable number, because it can be changed into a prime (12420331447) 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, 4610734 + ... + 4613426.

Almost surely, 2^12420331440 is an apocalyptic number.

12420331440 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 12420331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021475968).

12420331440 is an abundant number, since it is smaller than the sum of its proper divisors (29622620496).

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

12420331440 is a wasteful number, since it uses less digits than its factorization.

12420331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12420331440 its reverse (4413302421), we get a palindrome (16833633861).

The spelling of 12420331440 in words is "twelve billion, four hundred twenty million, three hundred thirty-one thousand, four hundred forty".