11113123200 has 192 divisors, whose sum is σ = 36962515200. Its totient is φ = 2934466560.

The previous prime is 11113123171. The next prime is 11113123211. The reversal of 11113123200 is 232131111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11113123200.

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, 983181 + ... + 994419.

It is an arithmetic number, because the mean of its divisors is an integer number (192513100).

Almost surely, 2^11113123200 is an apocalyptic number.

11113123200 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 11113123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481257600).

11113123200 is an abundant number, since it is smaller than the sum of its proper divisors (25849392000).

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

11113123200 is a wasteful number, since it uses less digits than its factorization.

11113123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11352 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11113123200 its reverse (232131111), we get a palindrome (11345254311).

The spelling of 11113123200 in words is "eleven billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred".