3112002020000 has 480 divisors, whose sum is σ = 8292555532800. Its totient is φ = 1145418624000.

The previous prime is 3112002019979. The next prime is 3112002020009. The reversal of 3112002020000 is 202002113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3112002020009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3709179581 + ... + 3709180419.

It is an arithmetic number, because the mean of its divisors is an integer number (17276157360).

Almost surely, 2^{3112002020000} 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 3112002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146277766400).

3112002020000 is an abundant number, since it is smaller than the sum of its proper divisors (5180553512800).

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

3112002020000 is a wasteful number, since it uses less digits than its factorization.

3112002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 3112002020000 its reverse (202002113), we get a palindrome (3112204022113).

The spelling of 3112002020000 in words is "three trillion, one hundred twelve billion, two million, twenty thousand".