312424011240 has 256 divisors, whose sum is σ = 1048151301120. Its totient is φ = 73843875840.

The previous prime is 312424011239. The next prime is 312424011253. The reversal of 312424011240 is 42110424213.

312424011240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 312424011240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33313432 + ... + 33322808.

It is an arithmetic number, because the mean of its divisors is an integer number (4094341020).

Almost surely, 2^312424011240 is an apocalyptic number.

312424011240 is a gapful number since it is divisible by the number (30) 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 312424011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524075650560).

312424011240 is an abundant number, since it is smaller than the sum of its proper divisors (735727289880).

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

312424011240 is a wasteful number, since it uses less digits than its factorization.

312424011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 312424011240 its reverse (42110424213), we get a palindrome (354534435453).

The spelling of 312424011240 in words is "three hundred twelve billion, four hundred twenty-four million, eleven thousand, two hundred forty".