11301212200 has 96 divisors (see below), whose sum is σ = 26580497400. Its totient is φ = 4468285440.

The previous prime is 11301212177. The next prime is 11301212231. The reversal of 11301212200 is 221210311.

It can be written as a sum of positive squares in 12 ways, for example, as 14699556 + 11286512644 = 3834^2 + 106238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7589056 + ... + 7590544.

Almost surely, 2^11301212200 is an apocalyptic number.

11301212200 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 11301212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290248700).

11301212200 is an abundant number, since it is smaller than the sum of its proper divisors (15279285200).

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

11301212200 is a wasteful number, since it uses less digits than its factorization.

11301212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11301212200 its reverse (221210311), we get a palindrome (11522422511).

The spelling of 11301212200 in words is "eleven billion, three hundred one million, two hundred twelve thousand, two hundred".