12205142100 has 432 divisors, whose sum is σ = 42719140800. Its totient is φ = 2980074240.

The previous prime is 12205142099. The next prime is 12205142137. The reversal of 12205142100 is 124150221.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 182166267 + ... + 182166333.

It is an arithmetic number, because the mean of its divisors is an integer number (98886900).

Almost surely, 2^12205142100 is an apocalyptic number.

12205142100 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 12205142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359570400).

12205142100 is an abundant number, since it is smaller than the sum of its proper divisors (30513998700).

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

12205142100 is a wasteful number, since it uses less digits than its factorization.

12205142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12205142100 its reverse (124150221), we get a palindrome (12329292321).

The spelling of 12205142100 in words is "twelve billion, two hundred five million, one hundred forty-two thousand, one hundred".