11133240000 has 420 divisors, whose sum is σ = 38999534904. Its totient is φ = 2801664000.

The previous prime is 11133239969. The next prime is 11133240029. The reversal of 11133240000 is 4233111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43319872 + ... + 43320128.

Almost surely, 2^11133240000 is an apocalyptic number.

11133240000 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 11133240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499767452).

11133240000 is an abundant number, since it is smaller than the sum of its proper divisors (27866294904).

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

11133240000 is an equidigital number, since it uses as much as digits as its factorization.

11133240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11133240000 its reverse (4233111), we get a palindrome (11137473111).

The spelling of 11133240000 in words is "eleven billion, one hundred thirty-three million, two hundred forty thousand".