11231261200 has 240 divisors, whose sum is σ = 28859152896. Its totient is φ = 4194201600.

The previous prime is 11231261087. The next prime is 11231261221. The reversal of 11231261200 is 216213211.

11231261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11231261200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50364289 + ... + 50364511.

Almost surely, 2^11231261200 is an apocalyptic number.

11231261200 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 11231261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429576448).

11231261200 is an abundant number, since it is smaller than the sum of its proper divisors (17627891696).

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

11231261200 is a wasteful number, since it uses less digits than its factorization.

11231261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11231261200 its reverse (216213211), we get a palindrome (11447474411).

The spelling of 11231261200 in words is "eleven billion, two hundred thirty-one million, two hundred sixty-one thousand, two hundred".