312231233000 has 256 divisors, whose sum is σ = 777132195840. Its totient is φ = 117170592000.

The previous prime is 312231232987. The next prime is 312231233051. The reversal of 312231233000 is 332132213.

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

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, 429478637 + ... + 429479363.

It is an arithmetic number, because the mean of its divisors is an integer number (3035672640).

Almost surely, 2^312231233000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312231233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388566097920).

312231233000 is an abundant number, since it is smaller than the sum of its proper divisors (464900962840).

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

312231233000 is a wasteful number, since it uses less digits than its factorization.

312231233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312231233000 its reverse (332132213), we get a palindrome (312563365213).

The spelling of 312231233000 in words is "three hundred twelve billion, two hundred thirty-one million, two hundred thirty-three thousand".