3201144012 has 144 divisors (see below), whose sum is σ = 8963136000. Its totient is φ = 955274880.

The previous prime is 3201143999. The next prime is 3201144019. The reversal of 3201144012 is 2104411023.

It is a super-2 number, since 2×3201144012² = 20494645971126912288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3201144019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13393789 + ... + 13394027.

It is an arithmetic number, because the mean of its divisors is an integer number (62244000).

Almost surely, 2^3201144012 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 3201144012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

3201144012 is an abundant number, since it is smaller than the sum of its proper divisors (5761991988).

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

3201144012 is a wasteful number, since it uses less digits than its factorization.

3201144012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3201144012 is about 56578.6533243767. The cubic root of 3201144012 is about 1473.7881858770.

Adding to 3201144012 its reverse (2104411023), we get a palindrome (5305555035).

The spelling of 3201144012 in words is "three billion, two hundred one million, one hundred forty-four thousand, twelve".