11331123000 has 128 divisors (see below), whose sum is σ = 35463018240. Its totient is φ = 3012240000.

The previous prime is 11331122993. The next prime is 11331123017. The reversal of 11331123000 is 32113311.

11331123000 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-2 number, since 2×11331123000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987295 + ... + 998705.

It is an arithmetic number, because the mean of its divisors is an integer number (277054830).

Almost surely, 2^11331123000 is an apocalyptic number.

11331123000 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 11331123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731509120).

11331123000 is an abundant number, since it is smaller than the sum of its proper divisors (24131895240).

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

11331123000 is a wasteful number, since it uses less digits than its factorization.

11331123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11766 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11331123000 its reverse (32113311), we get a palindrome (11363236311).

The spelling of 11331123000 in words is "eleven billion, three hundred thirty-one million, one hundred twenty-three thousand".