111011040000 has 720 divisors, whose sum is σ = 468947888640. Its totient is φ = 25367040000.

The previous prime is 111011039983. The next prime is 111011040001. The reversal of 111011040000 is 40110111.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (111011040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30238165 + ... + 30241835.

It is an arithmetic number, because the mean of its divisors is an integer number (651316512).

Almost surely, 2^111011040000 is an apocalyptic number.

111011040000 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 111011040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234473944320).

111011040000 is an abundant number, since it is smaller than the sum of its proper divisors (357936848640).

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

111011040000 is an frugal number, since it uses more digits than its factorization.

111011040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111011040000 its reverse (40110111), we get a palindrome (111051150111).

The spelling of 111011040000 in words is "one hundred eleven billion, eleven million, forty thousand".