3201000012 has 96 divisors (see below), whose sum is σ = 9494284800. Its totient is φ = 913622976.

The previous prime is 3200999993. The next prime is 3201000029. The reversal of 3201000012 is 2100001023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3200999958 and 3201000003.

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, 1078843 + ... + 1081805.

It is an arithmetic number, because the mean of its divisors is an integer number (98898800).

Almost surely, 2^3201000012 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 3201000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747142400).

3201000012 is an abundant number, since it is smaller than the sum of its proper divisors (6293284788).

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

3201000012 is a wasteful number, since it uses less digits than its factorization.

3201000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3201000012 is about 56577.3807453120. The cubic root of 3201000012 is about 1473.7660866233.

Adding to 3201000012 its reverse (2100001023), we get a palindrome (5301001035).

The spelling of 3201000012 in words is "three billion, two hundred one million, twelve", and thus it is an aban number.