11241811200 has 216 divisors, whose sum is σ = 38714897088. Its totient is φ = 2867363840.

The previous prime is 11241811171. The next prime is 11241811211. The reversal of 11241811200 is 211814211.

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, 428872 + ... + 454328.

Almost surely, 2^11241811200 is an apocalyptic number.

11241811200 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 11241811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357448544).

11241811200 is an abundant number, since it is smaller than the sum of its proper divisors (27473085888).

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

11241811200 is a wasteful number, since it uses less digits than its factorization.

11241811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25509 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 11241811200 in words is "eleven billion, two hundred forty-one million, eight hundred eleven thousand, two hundred".