11212113200 has 120 divisors (see below), whose sum is σ = 27823487040. Its totient is φ = 4339456000.

The previous prime is 11212113109. The next prime is 11212113223. The reversal of 11212113200 is 231121211.

It is a super-2 number, since 2×11212113200² (a number of 21 digits) contains 22 as substring.

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, 1669850 + ... + 1676550.

It is an arithmetic number, because the mean of its divisors is an integer number (231862392).

Almost surely, 2^11212113200 is an apocalyptic number.

11212113200 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 11212113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911743520).

11212113200 is an abundant number, since it is smaller than the sum of its proper divisors (16611373840).

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

11212113200 is a wasteful number, since it uses less digits than its factorization.

11212113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6844 counting only the distinct ones).

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

Adding to 11212113200 its reverse (231121211), we get a palindrome (11443234411).

The spelling of 11212113200 in words is "eleven billion, two hundred twelve million, one hundred thirteen thousand, two hundred".