11212131200 has 192 divisors, whose sum is σ = 28311156720. Its totient is φ = 4386816000.

The previous prime is 11212131199. The next prime is 11212131233. The reversal of 11212131200 is 213121211.

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, 36521447 + ... + 36521753.

Almost surely, 2^11212131200 is an apocalyptic number.

11212131200 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 11212131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155578360).

11212131200 is an abundant number, since it is smaller than the sum of its proper divisors (17099025520).

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

11212131200 is a wasteful number, since it uses less digits than its factorization.

11212131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11212131200 its reverse (213121211), we get a palindrome (11425252411).

The spelling of 11212131200 in words is "eleven billion, two hundred twelve million, one hundred thirty-one thousand, two hundred".