11114112000 has 352 divisors, whose sum is σ = 37461475584. Its totient is φ = 2924544000.

The previous prime is 11114111999. The next prime is 11114112017. The reversal of 11114112000 is 21141111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39551860 + ... + 39552140.

Almost surely, 2^11114112000 is an apocalyptic number.

11114112000 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 11114112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730737792).

11114112000 is an abundant number, since it is smaller than the sum of its proper divisors (26347363584).

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

11114112000 is a wasteful number, since it uses less digits than its factorization.

11114112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11114112000 its reverse (21141111), we get a palindrome (11135253111).

The spelling of 11114112000 in words is "eleven billion, one hundred fourteen million, one hundred twelve thousand".