12611146200 has 96 divisors (see below), whose sum is σ = 39186063360. Its totient is φ = 3355100800.

The previous prime is 12611146187. The next prime is 12611146237. The reversal of 12611146200 is 264111621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 234217 + ... + 282983.

It is an arithmetic number, because the mean of its divisors is an integer number (408188160).

Almost surely, 2^12611146200 is an apocalyptic number.

12611146200 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 12611146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593031680).

12611146200 is an abundant number, since it is smaller than the sum of its proper divisors (26574917160).

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

12611146200 is a wasteful number, since it uses less digits than its factorization.

12611146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49217 (or 49208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12611146200 its reverse (264111621), we get a palindrome (12875257821).

The spelling of 12611146200 in words is "twelve billion, six hundred eleven million, one hundred forty-six thousand, two hundred".