111101231872000 has 384 divisors, whose sum is σ = 281437210454400. Its totient is φ = 43771723776000.

The previous prime is 111101231871989. The next prime is 111101231872009. The reversal of 111101231872000 is 278132101111.

It is a self number, because there is not a number n which added to its sum of digits gives 111101231872000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101231872009) 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, 5992182730 + ... + 5992201270.

It is an arithmetic number, because the mean of its divisors is an integer number (732909402225).

Almost surely, 2^{111101231872000} is an apocalyptic number.

111101231872000 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 111101231872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140718605227200).

111101231872000 is an abundant number, since it is smaller than the sum of its proper divisors (170335978582400).

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

111101231872000 is an equidigital number, since it uses as much as digits as its factorization.

111101231872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18930 (or 18900 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 28.

Adding to 111101231872000 its reverse (278132101111), we get a palindrome (111379363973111).

The spelling of 111101231872000 in words is "one hundred eleven trillion, one hundred one billion, two hundred thirty-one million, eight hundred seventy-two thousand".