312303530400 has 144 divisors (see below), whose sum is σ = 1040188986144. Its totient is φ = 81344148480.

The previous prime is 312303530393. The next prime is 312303530401. The reversal of 312303530400 is 4035303213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (312303530401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409899 + ... + 1616298.

It is an arithmetic number, because the mean of its divisors is an integer number (7223534626).

Almost surely, 2^312303530400 is an apocalyptic number.

312303530400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312303530400 is an abundant number, since it is smaller than the sum of its proper divisors (727885455744).

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

312303530400 is a wasteful number, since it uses less digits than its factorization.

312303530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026263 (or 3026250 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 312303530400 its reverse (4035303213), we get a palindrome (316338833613).

The spelling of 312303530400 in words is "three hundred twelve billion, three hundred three million, five hundred thirty thousand, four hundred".