2004043221312 has 168 divisors, whose sum is σ = 5884810346688. Its totient is φ = 601389127680.

The previous prime is 2004043221289. The next prime is 2004043221347. The reversal of 2004043221312 is 2131223404002.

It is a happy number.

It is a super-2 number, since 2×2004043221312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1974148 + ... + 2811644.

It is an arithmetic number, because the mean of its divisors is an integer number (35028633016).

Almost surely, 2^{2004043221312} is an apocalyptic number.

2004043221312 is a gapful number since it is divisible by the number (22) 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 2004043221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942405173344).

2004043221312 is an abundant number, since it is smaller than the sum of its proper divisors (3880767125376).

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

2004043221312 is a wasteful number, since it uses less digits than its factorization.

2004043221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837637 (or 837616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2004043221312 its reverse (2131223404002), we get a palindrome (4135266625314).

The spelling of 2004043221312 in words is "two trillion, four billion, forty-three million, two hundred twenty-one thousand, three hundred twelve".