11121121200 has 480 divisors, whose sum is σ = 44052609024. Its totient is φ = 2340126720.

The previous prime is 11121121199. The next prime is 11121121201. The reversal of 11121121200 is 212112111.

It is an interprime number because it is at equal distance from previous prime (11121121199) and next prime (11121121201).

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

It is not an unprimeable number, because it can be changed into a prime (11121121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6710772 + ... + 6712428.

Almost surely, 2^11121121200 is an apocalyptic number.

11121121200 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 11121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026304512).

11121121200 is an abundant number, since it is smaller than the sum of its proper divisors (32931487824).

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

11121121200 is a wasteful number, since it uses less digits than its factorization.

11121121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

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

Adding to 11121121200 its reverse (212112111), we get a palindrome (11333233311).

The spelling of 11121121200 in words is "eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".