312343022211000 has 1536 divisors, whose sum is σ = 1122319671782400. Its totient is φ = 72193752576000.

The previous prime is 312343022210981. The next prime is 312343022211023. The reversal of 312343022211000 is 112220343213.

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 383 ways as a sum of consecutive naturals, for example, 485758976679 + ... + 485758977321.

It is an arithmetic number, because the mean of its divisors is an integer number (730676869650).

Almost surely, 2^{312343022211000} is an apocalyptic number.

312343022211000 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 312343022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561159835891200).

312343022211000 is an abundant number, since it is smaller than the sum of its proper divisors (809976649571400).

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

312343022211000 is a wasteful number, since it uses less digits than its factorization.

312343022211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1373 counting only the distinct ones).

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

Adding to 312343022211000 its reverse (112220343213), we get a palindrome (312455242554213).

The spelling of 312343022211000 in words is "three hundred twelve trillion, three hundred forty-three billion, twenty-two million, two hundred eleven thousand".