11114011200 has 168 divisors, whose sum is σ = 36626068480. Its totient is φ = 2950502400.

The previous prime is 11114011187. The next prime is 11114011213. The reversal of 11114011200 is 211041111.

It is an interprime number because it is at equal distance from previous prime (11114011187) and next prime (11114011213).

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 23 ways as a sum of consecutive naturals, for example, 1094145 + ... + 1104255.

Almost surely, 2^11114011200 is an apocalyptic number.

11114011200 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 11114011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18313034240).

11114011200 is an abundant number, since it is smaller than the sum of its proper divisors (25512057280).

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

11114011200 is a wasteful number, since it uses less digits than its factorization.

11114011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10365 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11114011200 its reverse (211041111), we get a palindrome (11325052311).

The spelling of 11114011200 in words is "eleven billion, one hundred fourteen million, eleven thousand, two hundred".