312403313034120 has 512 divisors, whose sum is σ = 1190210311065600. Its totient is φ = 63718285824000.

The previous prime is 312403313034101. The next prime is 312403313034139. The reversal of 312403313034120 is 21430313304213.

It is an interprime number because it is at equal distance from previous prime (312403313034101) and next prime (312403313034139).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106316670 + ... + 109215570.

It is an arithmetic number, because the mean of its divisors is an integer number (2324629513800).

Almost surely, 2^{312403313034120} is an apocalyptic number.

312403313034120 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 312403313034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595105155532800).

312403313034120 is an abundant number, since it is smaller than the sum of its proper divisors (877806998031480).

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

312403313034120 is a wasteful number, since it uses less digits than its factorization.

312403313034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899149 (or 2899145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 312403313034120 its reverse (21430313304213), we get a palindrome (333833626338333).

The spelling of 312403313034120 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirteen million, thirty-four thousand, one hundred twenty".