11121100011000 has 320 divisors, whose sum is σ = 44427914182080. Its totient is φ = 2541965587200.

The previous prime is 11121100010989. The next prime is 11121100011017. The reversal of 11121100011000 is 11000112111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9239967 + ... + 10373966.

It is an arithmetic number, because the mean of its divisors is an integer number (138837231819).

Almost surely, 2^{11121100011000} is an apocalyptic number.

11121100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121100011000 is an abundant number, since it is smaller than the sum of its proper divisors (33306814171080).

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

11121100011000 is a wasteful number, since it uses less digits than its factorization.

11121100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613973 (or 19613950 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11121100011000 its reverse (11000112111), we get a palindrome (11132100123111).

The spelling of 11121100011000 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, eleven thousand".