111013201200 has 240 divisors, whose sum is σ = 388250150400. Its totient is φ = 26890828800.

The previous prime is 111013201199. The next prime is 111013201231. The reversal of 111013201200 is 2102310111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22028281 + ... + 22033319.

It is an arithmetic number, because the mean of its divisors is an integer number (1617708960).

Almost surely, 2^111013201200 is an apocalyptic number.

111013201200 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 111013201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194125075200).

111013201200 is an abundant number, since it is smaller than the sum of its proper divisors (277236949200).

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

111013201200 is a wasteful number, since it uses less digits than its factorization.

111013201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6729 counting only the distinct ones).

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

Adding to 111013201200 its reverse (2102310111), we get a palindrome (113115511311).

It can be divided in two parts, 111013 and 201200, that added together give a palindrome (312213).

The spelling of 111013201200 in words is "one hundred eleven billion, thirteen million, two hundred one thousand, two hundred".