11802106120 has 128 divisors (see below), whose sum is σ = 32180716800. Its totient is φ = 3805249536.

The previous prime is 11802106039. The next prime is 11802106157. The reversal of 11802106120 is 2160120811.

It is a junction number, because it is equal to n+sod(n) for n = 11802106091 and 11802106100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720744 + ... + 736936.

It is an arithmetic number, because the mean of its divisors is an integer number (251411850).

Almost surely, 2^11802106120 is an apocalyptic number.

11802106120 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 11802106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090358400).

11802106120 is an abundant number, since it is smaller than the sum of its proper divisors (20378610680).

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

11802106120 is a wasteful number, since it uses less digits than its factorization.

11802106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367 (or 16363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 11802106120 its reverse (2160120811), we get a palindrome (13962226931).

The spelling of 11802106120 in words is "eleven billion, eight hundred two million, one hundred six thousand, one hundred twenty".