11121310200 has 384 divisors, whose sum is σ = 46292037120. Its totient is φ = 2133043200.

The previous prime is 11121310199. The next prime is 11121310231. The reversal of 11121310200 is 201312111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 591342 + ... + 609858.

It is an arithmetic number, because the mean of its divisors is an integer number (120552180).

Almost surely, 2^11121310200 is an apocalyptic number.

11121310200 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 11121310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146018560).

11121310200 is an abundant number, since it is smaller than the sum of its proper divisors (35170726920).

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

11121310200 is a wasteful number, since it uses less digits than its factorization.

11121310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11121310200 its reverse (201312111), we get a palindrome (11322622311).

The spelling of 11121310200 in words is "eleven billion, one hundred twenty-one million, three hundred ten thousand, two hundred".