11200416120 has 96 divisors (see below), whose sum is σ = 36619521120. Its totient is φ = 2968876800.

The previous prime is 11200416083. The next prime is 11200416133. The reversal of 11200416120 is 2161400211.

11200416120 is a `hidden beast` number, since 1 + 12 + 0 + 0 + 41 + 612 + 0 = 666.

11200416120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200416120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11200416093 and 11200416102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33031 + ... + 153270.

It is an arithmetic number, because the mean of its divisors is an integer number (381453345).

Almost surely, 2^11200416120 is an apocalyptic number.

11200416120 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 11200416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309760560).

11200416120 is an abundant number, since it is smaller than the sum of its proper divisors (25419105000).

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

11200416120 is a wasteful number, since it uses less digits than its factorization.

11200416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186485 (or 186478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11200416120 its reverse (2161400211), we get a palindrome (13361816331).

The spelling of 11200416120 in words is "eleven billion, two hundred million, four hundred sixteen thousand, one hundred twenty".