11041272000 has 560 divisors, whose sum is σ = 44588887200. Its totient is φ = 2674944000.

The previous prime is 11041271947. The next prime is 11041272103. The reversal of 11041272000 is 27214011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127226 + ... + 7128774.

Almost surely, 2^11041272000 is an apocalyptic number.

11041272000 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 11041272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22294443600).

11041272000 is an abundant number, since it is smaller than the sum of its proper divisors (33547615200).

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

11041272000 is a wasteful number, since it uses less digits than its factorization.

11041272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 11041272000 its reverse (27214011), we get a palindrome (11068486011).

The spelling of 11041272000 in words is "eleven billion, forty-one million, two hundred seventy-two thousand".