312423322312000 has 448 divisors, whose sum is σ = 823157783622720. Its totient is φ = 117292843008000.

The previous prime is 312423322311967. The next prime is 312423322312001. The reversal of 312423322312000 is 213223324213.

It can be written as a sum of positive squares in 32 ways, for example, as 312354157519936 + 69164792064 = 17673544^2 + 262992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312423322312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312423322312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1079959374 + ... + 1080248626.

It is an arithmetic number, because the mean of its divisors is an integer number (1837405767015).

Almost surely, 2^{312423322312000} 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 312423322312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411578891811360).

312423322312000 is an abundant number, since it is smaller than the sum of its proper divisors (510734461310720).

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

312423322312000 is a wasteful number, since it uses less digits than its factorization.

312423322312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289447 (or 289427 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312423322312000 its reverse (213223324213), we get a palindrome (312636545636213).

The spelling of 312423322312000 in words is "three hundred twelve trillion, four hundred twenty-three billion, three hundred twenty-two million, three hundred twelve thousand".