11101213200 has 480 divisors, whose sum is σ = 44592860160. Its totient is φ = 2293401600.

The previous prime is 11101213187. The next prime is 11101213217. The reversal of 11101213200 is 231210111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29290611 + ... + 29290989.

It is an arithmetic number, because the mean of its divisors is an integer number (92901792).

Almost surely, 2^11101213200 is an apocalyptic number.

11101213200 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 11101213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296430080).

11101213200 is an abundant number, since it is smaller than the sum of its proper divisors (33491646960).

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

11101213200 is a wasteful number, since it uses less digits than its factorization.

11101213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

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

Adding to 11101213200 its reverse (231210111), we get a palindrome (11332423311).

It can be divided in two parts, 111012 and 13200, that multiplied together give a square (1465358400 = 38280²).

The spelling of 11101213200 in words is "eleven billion, one hundred one million, two hundred thirteen thousand, two hundred".