312343322441000 has 128 divisors (see below), whose sum is σ = 735973030260000. Its totient is φ = 124067722752000.

The previous prime is 312343322440921. The next prime is 312343322441071. The reversal of 312343322441000 is 144223343213.

It can be written as a sum of positive squares in 16 ways, for example, as 86886670975204 + 225456651465796 = 9321302^2 + 15015214^2 .

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, 598868336 + ... + 599389664.

Almost surely, 2^{312343322441000} 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 312343322441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367986515130000).

312343322441000 is an abundant number, since it is smaller than the sum of its proper divisors (423629707819000).

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

312343322441000 is a wasteful number, since it uses less digits than its factorization.

312343322441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525520 (or 525506 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312343322441000 its reverse (144223343213), we get a palindrome (312487545784213).

The spelling of 312343322441000 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred twenty-two million, four hundred forty-one thousand".