11200112211120 has 640 divisors, whose sum is σ = 40943779430400. Its totient is φ = 2479599489024.

The previous prime is 11200112211103. The next prime is 11200112211131. The reversal of 11200112211120 is 2111221100211.

It is a happy number.

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 11200112211120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5676690454 + ... + 5676692426.

It is an arithmetic number, because the mean of its divisors is an integer number (63974655360).

Almost surely, 2^{11200112211120} is an apocalyptic number.

11200112211120 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 11200112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471889715200).

11200112211120 is an abundant number, since it is smaller than the sum of its proper divisors (29743667219280).

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

11200112211120 is a wasteful number, since it uses less digits than its factorization.

11200112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

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

Adding to 11200112211120 its reverse (2111221100211), we get a palindrome (13311333311331).

The spelling of 11200112211120 in words is "eleven trillion, two hundred billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".