11540244101200 has 60 divisors (see below), whose sum is σ = 27726276181660. Its totient is φ = 4615957831680.

The previous prime is 11540244101171. The next prime is 11540244101233. The reversal of 11540244101200 is 210144204511.

11540244101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 343832122384 + 11196411978816 = 586372^2 + 3346104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13327882 + ... + 14167318.

Almost surely, 2^{11540244101200} is an apocalyptic number.

11540244101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540244101200 is an abundant number, since it is smaller than the sum of its proper divisors (16186032080460).

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

11540244101200 is a wasteful number, since it uses less digits than its factorization.

11540244101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873824 (or 873813 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11540244101200 its reverse (210144204511), we get a palindrome (11750388305711).

The spelling of 11540244101200 in words is "eleven trillion, five hundred forty billion, two hundred forty-four million, one hundred one thousand, two hundred".