312423241002000 has 480 divisors, whose sum is σ = 1114888625061120. Its totient is φ = 75002872524800.

The previous prime is 312423241001987. The next prime is 312423241002007. The reversal of 312423241002000 is 200142324213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (312423241002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51062941 + ... + 56853059.

It is an arithmetic number, because the mean of its divisors is an integer number (2322684635544).

Almost surely, 2^{312423241002000} is an apocalyptic number.

312423241002000 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 312423241002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557444312530560).

312423241002000 is an abundant number, since it is smaller than the sum of its proper divisors (802465384059120).

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

312423241002000 is a wasteful number, since it uses less digits than its factorization.

312423241002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790208 (or 5790169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312423241002000 its reverse (200142324213), we get a palindrome (312623383326213).

The spelling of 312423241002000 in words is "three hundred twelve trillion, four hundred twenty-three billion, two hundred forty-one million, two thousand".