111120000212104 has 192 divisors, whose sum is σ = 248528006017200. Its totient is φ = 46138314866688.

The previous prime is 111120000212099. The next prime is 111120000212119. The reversal of 111120000212104 is 401212000021111.

It can be written as a sum of positive squares in 8 ways, for example, as 62785497112900 + 48334503099204 = 7923730^2 + 6952302^2 .

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, 1358909332 + ... + 1358991100.

Almost surely, 2^{111120000212104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111120000212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124264003008600).

111120000212104 is an abundant number, since it is smaller than the sum of its proper divisors (137408005805096).

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

111120000212104 is a wasteful number, since it uses less digits than its factorization.

111120000212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83304 (or 83277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111120000212104 its reverse (401212000021111), we get a palindrome (512332000233215).

The spelling of 111120000212104 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred twelve thousand, one hundred four".