312323220130200 has 192 divisors, whose sum is σ = 977929728491520. Its totient is φ = 82449635520000.

The previous prime is 312323220130183. The next prime is 312323220130217. The reversal of 312323220130200 is 2031022323213.

It is an interprime number because it is at equal distance from previous prime (312323220130183) and next prime (312323220130217).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422072937 + ... + 422812263.

It is an arithmetic number, because the mean of its divisors is an integer number (5093384002560).

Almost surely, 2^{312323220130200} is an apocalyptic number.

312323220130200 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 312323220130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488964864245760).

312323220130200 is an abundant number, since it is smaller than the sum of its proper divisors (665606508361320).

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

312323220130200 is a wasteful number, since it uses less digits than its factorization.

312323220130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746418 (or 746409 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312323220130200 its reverse (2031022323213), we get a palindrome (314354242453413).

The spelling of 312323220130200 in words is "three hundred twelve trillion, three hundred twenty-three billion, two hundred twenty million, one hundred thirty thousand, two hundred".