312403034310420 has 192 divisors, whose sum is σ = 907793557364736. Its totient is φ = 80188321973760.

The previous prime is 312403034310391. The next prime is 312403034310427. The reversal of 312403034310420 is 24013430304213.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312403034310427) 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, 287387362 + ... + 288472358.

It is an arithmetic number, because the mean of its divisors is an integer number (4728091444608).

Almost surely, 2^{312403034310420} is an apocalyptic number.

312403034310420 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 312403034310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453896778682368).

312403034310420 is an abundant number, since it is smaller than the sum of its proper divisors (595390523054316).

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

312403034310420 is a wasteful number, since it uses less digits than its factorization.

312403034310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085870 (or 1085868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312403034310420 its reverse (24013430304213), we get a palindrome (336416464614633).

The spelling of 312403034310420 in words is "three hundred twelve trillion, four hundred three billion, thirty-four million, three hundred ten thousand, four hundred twenty".