312223303313000 has 128 divisors (see below), whose sum is σ = 762562015338240. Its totient is φ = 119428927200000.

The previous prime is 312223303312981. The next prime is 312223303313021. The reversal of 312223303313000 is 313303322213.

It is a happy number.

It is a super-2 number, since 2×312223303313000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88686350 + ... + 92139650.

It is an arithmetic number, because the mean of its divisors is an integer number (5957515744830).

Almost surely, 2^{312223303313000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312223303313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381281007669120).

312223303313000 is an abundant number, since it is smaller than the sum of its proper divisors (450338712025240).

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

312223303313000 is a wasteful number, since it uses less digits than its factorization.

312223303313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457276 (or 3457262 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 312223303313000 its reverse (313303322213), we get a palindrome (312536606635213).

The spelling of 312223303313000 in words is "three hundred twelve trillion, two hundred twenty-three billion, three hundred three million, three hundred thirteen thousand".