11254101200 has 60 divisors (see below), whose sum is σ = 27051592620. Its totient is φ = 4499374080.

The previous prime is 11254101179. The next prime is 11254101217. The reversal of 11254101200 is 210145211.

It can be written as a sum of positive squares in 6 ways, for example, as 373107856 + 10880993344 = 19316^2 + 104312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949712 + ... + 961488.

It is an arithmetic number, because the mean of its divisors is an integer number (450859877).

Almost surely, 2^11254101200 is an apocalyptic number.

11254101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11254101200 is an abundant number, since it is smaller than the sum of its proper divisors (15797491420).

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

11254101200 is a wasteful number, since it uses less digits than its factorization.

11254101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 11254101200 its reverse (210145211), we get a palindrome (11464246411).

The spelling of 11254101200 in words is "eleven billion, two hundred fifty-four million, one hundred one thousand, two hundred".