12302205006 has 256 divisors, whose sum is σ = 34217164800. Its totient is φ = 2853107712.

The previous prime is 12302204983. The next prime is 12302205007. The reversal of 12302205006 is 60050220321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302205007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13931841 + ... + 13932723.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^12302205006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302205006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

12302205006 is an abundant number, since it is smaller than the sum of its proper divisors (21914959794).

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

12302205006 is a wasteful number, since it uses less digits than its factorization.

12302205006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12302205006 its reverse (60050220321), we get a palindrome (72352425327).

The spelling of 12302205006 in words is "twelve billion, three hundred two million, two hundred five thousand, six".