3205011224000 has 224 divisors, whose sum is σ = 8433902782656. Its totient is φ = 1202314444800.

The previous prime is 3205011223907. The next prime is 3205011224003. The reversal of 3205011224000 is 4221105023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205011224003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38446364 + ... + 38529636.

Almost surely, 2^{3205011224000} 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 3205011224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216951391328).

3205011224000 is an abundant number, since it is smaller than the sum of its proper divisors (5228891558656).

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

3205011224000 is a wasteful number, since it uses less digits than its factorization.

3205011224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83600 (or 83580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 3205011224000 its reverse (4221105023), we get a palindrome (3209232329023).

The spelling of 3205011224000 in words is "three trillion, two hundred five billion, eleven million, two hundred twenty-four thousand".