11123132302260 has 288 divisors, whose sum is σ = 37458431337600. Its totient is φ = 2648892702720.

The previous prime is 11123132302259. The next prime is 11123132302267. The reversal of 11123132302260 is 6220323132111.

11123132302260 is a `hidden beast` number, since 1 + 112 + 3 + 1 + 323 + 0 + 226 + 0 = 666.

11123132302260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11123132302260⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123132302267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164565592 + ... + 164633168.

It is an arithmetic number, because the mean of its divisors is an integer number (130063997700).

Almost surely, 2^{11123132302260} is an apocalyptic number.

11123132302260 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 11123132302260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729215668800).

11123132302260 is an abundant number, since it is smaller than the sum of its proper divisors (26335299035340).

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

11123132302260 is a wasteful number, since it uses less digits than its factorization.

11123132302260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69071 (or 69066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11123132302260 its reverse (6220323132111), we get a palindrome (17343455434371).

The spelling of 11123132302260 in words is "eleven trillion, one hundred twenty-three billion, one hundred thirty-two million, three hundred two thousand, two hundred sixty".