312142224403000 has 256 divisors, whose sum is σ = 788028134400000. Its totient is φ = 115388925696000.

The previous prime is 312142224402973. The next prime is 312142224403027. The reversal of 312142224403000 is 304422241213.

It is an interprime number because it is at equal distance from previous prime (312142224402973) and next prime (312142224403027).

It is a self number, because there is not a number n which added to its sum of digits gives 312142224403000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440993376 + ... + 441700624.

It is an arithmetic number, because the mean of its divisors is an integer number (3078234900000).

Almost surely, 2^{312142224403000} 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 312142224403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394014067200000).

312142224403000 is an abundant number, since it is smaller than the sum of its proper divisors (475885909997000).

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

312142224403000 is a wasteful number, since it uses less digits than its factorization.

312142224403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707943 (or 707929 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312142224403000 its reverse (304422241213), we get a palindrome (312446646644213).

The spelling of 312142224403000 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred three thousand".