11121136260 has 144 divisors (see below), whose sum is σ = 34055743680. Its totient is φ = 2710156800.

The previous prime is 11121136241. The next prime is 11121136267. The reversal of 11121136260 is 6263112111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11121136260.

It is not an unprimeable number, because it can be changed into a prime (11121136267) 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, 1018711 + ... + 1029569.

It is an arithmetic number, because the mean of its divisors is an integer number (236498220).

Almost surely, 2^11121136260 is an apocalyptic number.

11121136260 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 11121136260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027871840).

11121136260 is an abundant number, since it is smaller than the sum of its proper divisors (22934607420).

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

11121136260 is a wasteful number, since it uses less digits than its factorization.

11121136260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 11121136260 its reverse (6263112111), we get a palindrome (17384248371).

The spelling of 11121136260 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-six thousand, two hundred sixty".