111000122112000 has 384 divisors, whose sum is σ = 402892632979200. Its totient is φ = 26909118464000.

The previous prime is 111000122111953. The next prime is 111000122112001. The reversal of 111000122112000 is 211221000111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×111000122112000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000122112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1878391 + ... + 15017609.

It is an arithmetic number, because the mean of its divisors is an integer number (1049199565050).

Almost surely, 2^{111000122112000} is an apocalyptic number.

111000122112000 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 111000122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201446316489600).

111000122112000 is an abundant number, since it is smaller than the sum of its proper divisors (291892510867200).

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

111000122112000 is a wasteful number, since it uses less digits than its factorization.

111000122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13139270 (or 13139240 counting only the distinct ones).

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

Adding to 111000122112000 its reverse (211221000111), we get a palindrome (111211343112111).

The spelling of 111000122112000 in words is "one hundred eleven trillion, one hundred twenty-two million, one hundred twelve thousand".