4112111001200 has 180 divisors, whose sum is σ = 10669175921448. Its totient is φ = 1522032422400.

The previous prime is 4112111001139. The next prime is 4112111001227. The reversal of 4112111001200 is 21001112114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878070 + ... + 6540330.

Almost surely, 2^{4112111001200} is an apocalyptic number.

4112111001200 is a gapful number since it is divisible by the number (40) 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 4112111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334587960724).

4112111001200 is an abundant number, since it is smaller than the sum of its proper divisors (6557064920248).

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

4112111001200 is a wasteful number, since it uses less digits than its factorization.

4112111001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662360 (or 662330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 4112111001200 its reverse (21001112114), we get a palindrome (4133112113314).

The spelling of 4112111001200 in words is "four trillion, one hundred twelve billion, one hundred eleven million, one thousand, two hundred".