111212101011200 has 216 divisors, whose sum is σ = 315760749081120. Its totient is φ = 37988112384000.

The previous prime is 111212101011173. The next prime is 111212101011217. The reversal of 111212101011200 is 2110101212111.

It is a super-2 number, since 2×111212101011200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7437050 + ... + 16665350.

It is an arithmetic number, because the mean of its divisors is an integer number (1461855319820).

Almost surely, 2^{111212101011200} is an apocalyptic number.

111212101011200 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 111212101011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157880374540560).

111212101011200 is an abundant number, since it is smaller than the sum of its proper divisors (204548648069920).

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

111212101011200 is an equidigital number, since it uses as much as digits as its factorization.

111212101011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228603 (or 9228584 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111212101011200 its reverse (2110101212111), we get a palindrome (113322202223311).

The spelling of 111212101011200 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred one million, eleven thousand, two hundred".