312010020120 has 128 divisors (see below), whose sum is σ = 946396016640. Its totient is φ = 82283174400.

The previous prime is 312010020103. The next prime is 312010020151. The reversal of 312010020120 is 21020010213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 312010020096 and 312010020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10735929 + ... + 10764951.

It is an arithmetic number, because the mean of its divisors is an integer number (7393718880).

Almost surely, 2^312010020120 is an apocalyptic number.

312010020120 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 312010020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473198008320).

312010020120 is an abundant number, since it is smaller than the sum of its proper divisors (634385996520).

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

312010020120 is a wasteful number, since it uses less digits than its factorization.

312010020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30025 (or 30021 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312010020120 its reverse (21020010213), we get a palindrome (333030030333).

The spelling of 312010020120 in words is "three hundred twelve billion, ten million, twenty thousand, one hundred twenty".