11122311000 has 256 divisors, whose sum is σ = 36041765760. Its totient is φ = 2853273600.

The previous prime is 11122310977. The next prime is 11122311017. The reversal of 11122311000 is 11322111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10766484 + ... + 10767516.

Almost surely, 2^11122311000 is an apocalyptic number.

11122311000 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 11122311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020882880).

11122311000 is an abundant number, since it is smaller than the sum of its proper divisors (24919454760).

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

11122311000 is a wasteful number, since it uses less digits than its factorization.

11122311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11122311000 its reverse (11322111), we get a palindrome (11133633111).

The spelling of 11122311000 in words is "eleven billion, one hundred twenty-two million, three hundred eleven thousand".