111072000000 has 672 divisors, whose sum is σ = 403096402800. Its totient is φ = 27033600000.

The previous prime is 111071999959. The next prime is 111072000001. The reversal of 111072000000 is 270111.

111072000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 111072000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111072000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1247999956 + ... + 1248000044.

Almost surely, 2^111072000000 is an apocalyptic number.

111072000000 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 111072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201548201400).

111072000000 is an abundant number, since it is smaller than the sum of its proper divisors (292024402800).

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

111072000000 is an frugal number, since it uses more digits than its factorization.

111072000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

Adding to 111072000000 its reverse (270111), we get a palindrome (111072270111).

The spelling of 111072000000 in words is "one hundred eleven billion, seventy-two million", and thus it is an aban number.