1112211121200 has 480 divisors, whose sum is σ = 3843324993600. Its totient is φ = 273914265600.

The previous prime is 1112211121157. The next prime is 1112211121213. The reversal of 1112211121200 is 21211122111.

It is a happy number.

It is a super-2 number, since 2×1112211121200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112211121200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718018026 + ... + 718019574.

It is an arithmetic number, because the mean of its divisors is an integer number (8006927070).

Almost surely, 2^{1112211121200} is an apocalyptic number.

1112211121200 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 1112211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921662496800).

1112211121200 is an abundant number, since it is smaller than the sum of its proper divisors (2731113872400).

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

1112211121200 is a wasteful number, since it uses less digits than its factorization.

1112211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1112211121200 its reverse (21211122111), we get a palindrome (1133422243311).

The spelling of 1112211121200 in words is "one trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".