12310400240 has 160 divisors (see below), whose sum is σ = 30920520960. Its totient is φ = 4548096000.

The previous prime is 12310400233. The next prime is 12310400243. The reversal of 12310400240 is 4200401321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310400243) 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, 5235065 + ... + 5237415.

It is an arithmetic number, because the mean of its divisors is an integer number (193253256).

Almost surely, 2^12310400240 is an apocalyptic number.

12310400240 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 12310400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460260480).

12310400240 is an abundant number, since it is smaller than the sum of its proper divisors (18610120720).

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

12310400240 is a wasteful number, since it uses less digits than its factorization.

12310400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12310400240 its reverse (4200401321), we get a palindrome (16510801561).

The spelling of 12310400240 in words is "twelve billion, three hundred ten million, four hundred thousand, two hundred forty".