111100011000000 has 1568 divisors, whose sum is σ = 433429577030400. Its totient is φ = 24820992000000.

The previous prime is 111100010999977. The next prime is 111100011000031. The reversal of 111100011000000 is 110001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23198997606 + ... + 23199002394.

Almost surely, 2^{111100011000000} is an apocalyptic number.

111100011000000 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 111100011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216714788515200).

111100011000000 is an abundant number, since it is smaller than the sum of its proper divisors (322329566030400).

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

111100011000000 is an equidigital number, since it uses as much as digits as its factorization.

111100011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100011000000 its reverse (110001111), we get a palindrome (111100121001111).

The spelling of 111100011000000 in words is "one hundred eleven trillion, one hundred billion, eleven million", and thus it is an aban number.