312215430400 has 54 divisors (see below), whose sum is σ = 772781989742. Its totient is φ = 124886169600.

The previous prime is 312215430391. The next prime is 312215430403. The reversal of 312215430400 is 4034512213.

It can be written as a sum of positive squares in 3 ways, for example, as 208282624 + 312007147776 = 14432^2 + 558576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312215430403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24385431 + ... + 24398230.

Almost surely, 2^312215430400 is an apocalyptic number.

It is an amenable number.

312215430400 is an abundant number, since it is smaller than the sum of its proper divisors (460566559342).

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

312215430400 is an equidigital number, since it uses as much as digits as its factorization.

312215430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48783687 (or 48783668 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 312215430400 its reverse (4034512213), we get a palindrome (316249942613).

The spelling of 312215430400 in words is "three hundred twelve billion, two hundred fifteen million, four hundred thirty thousand, four hundred".