312403313000020 has 192 divisors, whose sum is σ = 766846812211200. Its totient is φ = 105698284992000.

The previous prime is 312403312999993. The next prime is 312403313000029. The reversal of 312403313000020 is 20000313304213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312403312999955 and 312403313000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312403313000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261066865 + ... + 262260775.

It is an arithmetic number, because the mean of its divisors is an integer number (3993993813600).

Almost surely, 2^{312403313000020} 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 312403313000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423406105600).

312403313000020 is an abundant number, since it is smaller than the sum of its proper divisors (454443499211180).

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

312403313000020 is a wasteful number, since it uses less digits than its factorization.

312403313000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195070 (or 1195068 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312403313000020 its reverse (20000313304213), we get a palindrome (332403626304233).

The spelling of 312403313000020 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirteen million, twenty", and thus it is an aban number.