12205004240 has 120 divisors (see below), whose sum is σ = 33521167008. Its totient is φ = 4096734720.

The previous prime is 12205004239. The next prime is 12205004267. The reversal of 12205004240 is 4240050221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107687 + ... + 189753.

Almost surely, 2^12205004240 is an apocalyptic number.

12205004240 is a gapful number since it is divisible by the number (10) 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 12205004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760583504).

12205004240 is an abundant number, since it is smaller than the sum of its proper divisors (21316162768).

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

12205004240 is a wasteful number, since it uses less digits than its factorization.

12205004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82117 (or 82098 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12205004240 its reverse (4240050221), we get a palindrome (16445054461).

The spelling of 12205004240 in words is "twelve billion, two hundred five million, four thousand, two hundred forty".