3012020330000 has 300 divisors, whose sum is σ = 8292113033820. Its totient is φ = 1057499520000.

The previous prime is 3012020329961. The next prime is 3012020330009. The reversal of 3012020330000 is 330202103.

3012020330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1491593230864 + 1520427099136 = 1221308^2 + 1233056^2 .

It is not an unprimeable number, because it can be changed into a prime (3012020330009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35047082 + ... + 35132918.

Almost surely, 2^{3012020330000} 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 3012020330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146056516910).

3012020330000 is an abundant number, since it is smaller than the sum of its proper divisors (5280092703820).

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

3012020330000 is a wasteful number, since it uses less digits than its factorization.

3012020330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85916 (or 85884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 3012020330000 its reverse (330202103), we get a palindrome (3012350532103).

The spelling of 3012020330000 in words is "three trillion, twelve billion, twenty million, three hundred thirty thousand".