11112123000000 has 784 divisors, whose sum is σ = 40584553011072. Its totient is φ = 2660736000000.

The previous prime is 11112122999987. The next prime is 11112123000019. The reversal of 11112123000000 is 32121111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11112123000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2738997972 + ... + 2739002028.

Almost surely, 2^{11112123000000} is an apocalyptic number.

11112123000000 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 11112123000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292276505536).

11112123000000 is an abundant number, since it is smaller than the sum of its proper divisors (29472430011072).

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

11112123000000 is an frugal number, since it uses more digits than its factorization.

11112123000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4161 counting only the distinct ones).

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

Adding to 11112123000000 its reverse (32121111), we get a palindrome (11112155121111).

The spelling of 11112123000000 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-three million", and thus it is an aban number.