111000011122000 has 640 divisors, whose sum is σ = 360807714828288. Its totient is φ = 31896974592000.

The previous prime is 111000011121983. The next prime is 111000011122043. The reversal of 111000011122000 is 221110000111.

It is a super-3 number, since 3×111000011122000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1655620479 + ... + 1655687521.

Almost surely, 2^{111000011122000} is an apocalyptic number.

111000011122000 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 111000011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403857414144).

111000011122000 is an abundant number, since it is smaller than the sum of its proper divisors (249807703706288).

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

111000011122000 is a wasteful number, since it uses less digits than its factorization.

111000011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67924 (or 67908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111000011122000 its reverse (221110000111), we get a palindrome (111221121122111).

The spelling of 111000011122000 in words is "one hundred eleven trillion, eleven million, one hundred twenty-two thousand".