11122112111000 has 256 divisors, whose sum is σ = 28755759352320. Its totient is φ = 3992808000000.

The previous prime is 11122112110999. The next prime is 11122112111041. The reversal of 11122112111000 is 11121122111.

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, 344844875 + ... + 344877125.

It is an arithmetic number, because the mean of its divisors is an integer number (112327184970).

Almost surely, 2^{11122112111000} is an apocalyptic number.

11122112111000 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 11122112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377879676160).

11122112111000 is an abundant number, since it is smaller than the sum of its proper divisors (17633647241320).

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

11122112111000 is a wasteful number, since it uses less digits than its factorization.

11122112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32683 (or 32669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11122112111000 its reverse (11121122111), we get a palindrome (11133233233111).

It can be divided in two parts, 111221 and 12111000, that added together give a palindrome (12222221).

The spelling of 11122112111000 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand".