11245141200 has 120 divisors (see below), whose sum is σ = 36173577600. Its totient is φ = 2986081280.

The previous prime is 11245141177. The next prime is 11245141247. The reversal of 11245141200 is 214154211.

It is a tau number, because it is divible by the number of its divisors (120).

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, 267196 + ... + 306404.

It is an arithmetic number, because the mean of its divisors is an integer number (301446480).

Almost surely, 2^11245141200 is an apocalyptic number.

11245141200 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 11245141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086788800).

11245141200 is an abundant number, since it is smaller than the sum of its proper divisors (24928436400).

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

11245141200 is a wasteful number, since it uses less digits than its factorization.

11245141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39469 (or 39458 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11245141200 its reverse (214154211), we get a palindrome (11459295411).

The spelling of 11245141200 in words is "eleven billion, two hundred forty-five million, one hundred forty-one thousand, two hundred".