312213333000 has 256 divisors, whose sum is σ = 1012160448000. Its totient is φ = 80029824000.

The previous prime is 312213332989. The next prime is 312213333011. The reversal of 312213333000 is 333312213.

It is an interprime number because it is at equal distance from previous prime (312213332989) and next prime (312213333011).

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, 19915165 + ... + 19930835.

It is an arithmetic number, because the mean of its divisors is an integer number (3953751750).

Almost surely, 2^312213333000 is an apocalyptic number.

312213333000 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 312213333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506080224000).

312213333000 is an abundant number, since it is smaller than the sum of its proper divisors (699947115000).

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

312213333000 is a wasteful number, since it uses less digits than its factorization.

312213333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15939 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 312213333000 its reverse (333312213), we get a palindrome (312546645213).

It can be divided in two parts, 312 and 213333000, that added together give a palindrome (213333312).

The spelling of 312213333000 in words is "three hundred twelve billion, two hundred thirteen million, three hundred thirty-three thousand".