11041501200 has 240 divisors, whose sum is σ = 36063423936. Its totient is φ = 2887270400.

The previous prime is 11041501199. The next prime is 11041501201. The reversal of 11041501200 is 210514011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11041501199) and next prime (11041501201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11041501200.

It is not an unprimeable number, because it can be changed into a prime (11041501201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14508820 + ... + 14509580.

Almost surely, 2^11041501200 is an apocalyptic number.

11041501200 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 11041501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031711968).

11041501200 is an abundant number, since it is smaller than the sum of its proper divisors (25021922736).

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

11041501200 is a wasteful number, since it uses less digits than its factorization.

11041501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The spelling of 11041501200 in words is "eleven billion, forty-one million, five hundred one thousand, two hundred".