312343240000200 has 192 divisors, whose sum is σ = 970944255590400. Its totient is φ = 83061031737600.

The previous prime is 312343240000157. The next prime is 312343240000219. The reversal of 312343240000200 is 2000042343213.

It is a super-3 number, since 3×312343240000200³ (a number of 44 digits) contains 333 as substring.

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

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, 1844356729 + ... + 1844526071.

It is an arithmetic number, because the mean of its divisors is an integer number (5057001331200).

Almost surely, 2^{312343240000200} is an apocalyptic number.

312343240000200 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 312343240000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485472127795200).

312343240000200 is an abundant number, since it is smaller than the sum of its proper divisors (658601015590200).

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

312343240000200 is a wasteful number, since it uses less digits than its factorization.

312343240000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177852 (or 177843 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 312343240000200 its reverse (2000042343213), we get a palindrome (314343282343413).

The spelling of 312343240000200 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred forty million, two hundred", and thus it is an aban number.