1111112111200 has 576 divisors, whose sum is σ = 3523364490240. Its totient is φ = 332270346240.

The previous prime is 1111112111191. The next prime is 1111112111209. The reversal of 1111112111200 is 21112111111.

It is an interprime number because it is at equal distance from previous prime (1111112111191) and next prime (1111112111209).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111112111209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695748802 + ... + 695750398.

It is an arithmetic number, because the mean of its divisors is an integer number (6116952240).

Almost surely, 2^{1111112111200} is an apocalyptic number.

1111112111200 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 1111112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761682245120).

1111112111200 is an abundant number, since it is smaller than the sum of its proper divisors (2412252379040).

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

1111112111200 is a wasteful number, since it uses less digits than its factorization.

1111112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1111112111200 its reverse (21112111111), we get a palindrome (1132224222311).

The spelling of 1111112111200 in words is "one trillion, one hundred eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred".