11121110000 has 600 divisors, whose sum is σ = 36785999712. Its totient is φ = 3168000000.

The previous prime is 11121109981. The next prime is 11121110003. The reversal of 11121110000 is 1112111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11121110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121110003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110109950 + ... + 110110050.

Almost surely, 2^11121110000 is an apocalyptic number.

11121110000 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 11121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392999856).

11121110000 is an abundant number, since it is smaller than the sum of its proper divisors (25664889712).

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

11121110000 is a wasteful number, since it uses less digits than its factorization.

11121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11121110000 its reverse (1112111), we get a palindrome (11122222111).

11121110000 divided by its reverse (1112111) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 11121 and 110000, that added together give a palindrome (121121).

The spelling of 11121110000 in words is "eleven billion, one hundred twenty-one million, one hundred ten thousand".