312323402000 has 40 divisors (see below), whose sum is σ = 755197990872. Its totient is φ = 124929360000.

The previous prime is 312323401979. The next prime is 312323402009. The reversal of 312323402000 is 204323213.

It can be written as a sum of positive squares in 4 ways, for example, as 32203020304 + 280120381696 = 179452^2 + 529264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×312323402000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312323402009) 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 7 ways as a sum of consecutive naturals, for example, 78078851 + ... + 78082850.

Almost surely, 2^312323402000 is an apocalyptic number.

It is an amenable number.

312323402000 is an abundant number, since it is smaller than the sum of its proper divisors (442874588872).

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

312323402000 is a wasteful number, since it uses less digits than its factorization.

312323402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156161724 (or 156161708 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312323402000 its reverse (204323213), we get a palindrome (312527725213).

The spelling of 312323402000 in words is "three hundred twelve billion, three hundred twenty-three million, four hundred two thousand".