11152125200 has 60 divisors (see below), whose sum is σ = 26834272080. Its totient is φ = 4453975680.

The previous prime is 11152125197. The next prime is 11152125203. The reversal of 11152125200 is 252125111.

11152125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11152125197) and next prime (11152125203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11152125203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242447 + ... + 284753.

It is an arithmetic number, because the mean of its divisors is an integer number (447237868).

Almost surely, 2^11152125200 is an apocalyptic number.

11152125200 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 11152125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417136040).

11152125200 is an abundant number, since it is smaller than the sum of its proper divisors (15682146880).

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

11152125200 is a wasteful number, since it uses less digits than its factorization.

11152125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42973 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 11152125200 in words is "eleven billion, one hundred fifty-two million, one hundred twenty-five thousand, two hundred".