312343240011000 has 192 divisors, whose sum is σ = 1071156620046240. Its totient is φ = 75719573248000.

The previous prime is 312343240010939. The next prime is 312343240011017. The reversal of 312343240011000 is 110042343213.

It is a happy number.

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, 429861849 + ... + 430587848.

Almost surely, 2^{312343240011000} is an apocalyptic number.

312343240011000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312343240011000 is an abundant number, since it is smaller than the sum of its proper divisors (758813380035240).

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

312343240011000 is a wasteful number, since it uses less digits than its factorization.

312343240011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860449743 (or 860449718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312343240011000 its reverse (110042343213), we get a palindrome (312453282354213).

The spelling of 312343240011000 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred forty million, eleven thousand".