312010011020 has 192 divisors, whose sum is σ = 723221654400. Its totient is φ = 112608018432.

The previous prime is 312010011017. The next prime is 312010011083. The reversal of 312010011020 is 20110010213.

It is a junction number, because it is equal to n+sod(n) for n = 312010010992 and 312010011010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 148645931 + ... + 148648029.

It is an arithmetic number, because the mean of its divisors is an integer number (3766779450).

Almost surely, 2^312010011020 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 312010011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361610827200).

312010011020 is an abundant number, since it is smaller than the sum of its proper divisors (411211643380).

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

312010011020 is a wasteful number, since it uses less digits than its factorization.

312010011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 312010011020 its reverse (20110010213), we get a palindrome (332120021233).

The spelling of 312010011020 in words is "three hundred twelve billion, ten million, eleven thousand, twenty".