3012321310020 has 576 divisors, whose sum is σ = 10703059960320. Its totient is φ = 678327091200.

The previous prime is 3012321310013. The next prime is 3012321310073. The reversal of 3012321310020 is 200131232103.

3012321310020 is a `hidden beast` number, since 3 + 0 + 12 + 321 + 310 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3012321309975 and 3012321310002.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1080070786 + ... + 1080073574.

It is an arithmetic number, because the mean of its divisors is an integer number (18581701320).

Almost surely, 2^{3012321310020} is an apocalyptic number.

3012321310020 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 3012321310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351529980160).

3012321310020 is an abundant number, since it is smaller than the sum of its proper divisors (7690738650300).

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

3012321310020 is a wasteful number, since it uses less digits than its factorization.

3012321310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3012321310020 its reverse (200131232103), we get a palindrome (3212452542123).

The spelling of 3012321310020 in words is "three trillion, twelve billion, three hundred twenty-one million, three hundred ten thousand, twenty".