111100111122000 has 2560 divisors, whose sum is σ = 515418467106816. Its totient is φ = 19831578624000.

The previous prime is 111100111121999. The next prime is 111100111122017. The reversal of 111100111122000 is 221111001111.

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

It is a zygodrome in base 10.

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 5111095132 + ... + 5111116868.

Almost surely, 2^{111100111122000} is an apocalyptic number.

111100111122000 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 111100111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257709233553408).

111100111122000 is an abundant number, since it is smaller than the sum of its proper divisors (404318355984816).

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

111100111122000 is a wasteful number, since it uses less digits than its factorization.

111100111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111100111122000 its reverse (221111001111), we get a palindrome (111321222123111).

It can be divided in two parts, 111100111 and 122000, that added together give a palindrome (111222111).

The spelling of 111100111122000 in words is "one hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand".