12205004100 has 72 divisors (see below), whose sum is σ = 35389818240. Its totient is φ = 3247601280.

The previous prime is 12205004093. The next prime is 12205004111. The reversal of 12205004100 is 140050221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12205004100.

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, 94966 + ... + 182834.

Almost surely, 2^12205004100 is an apocalyptic number.

12205004100 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 12205004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694909120).

12205004100 is an abundant number, since it is smaller than the sum of its proper divisors (23184814140).

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

12205004100 is a wasteful number, since it uses less digits than its factorization.

12205004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88349 (or 88342 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12205004100 its reverse (140050221), we get a palindrome (12345054321).

The spelling of 12205004100 in words is "twelve billion, two hundred five million, four thousand, one hundred".