11200012120 has 128 divisors (see below), whose sum is σ = 28068768000. Its totient is φ = 3987878400.

The previous prime is 11200012111. The next prime is 11200012121. The reversal of 11200012120 is 2121000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11200012097 and 11200012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5334831 + ... + 5336929.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^11200012120 is an apocalyptic number.

11200012120 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 11200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

11200012120 is an abundant number, since it is smaller than the sum of its proper divisors (16868755880).

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

11200012120 is a wasteful number, since it uses less digits than its factorization.

11200012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200012120 its reverse (2121000211), we get a palindrome (13321012331).

The spelling of 11200012120 in words is "eleven billion, two hundred million, twelve thousand, one hundred twenty".