11186314120 has 128 divisors (see below), whose sum is σ = 26345088000. Its totient is φ = 4271420160.

The previous prime is 11186314039. The next prime is 11186314123. The reversal of 11186314120 is 2141368111.

It is a super-2 number, since 2×11186314120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11186314123) 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, 16974351 + ... + 16975009.

It is an arithmetic number, because the mean of its divisors is an integer number (205821000).

Almost surely, 2^11186314120 is an apocalyptic number.

11186314120 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 11186314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544000).

11186314120 is an abundant number, since it is smaller than the sum of its proper divisors (15158773880).

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

11186314120 is a wasteful number, since it uses less digits than its factorization.

11186314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

It can be divided in two parts, 1118631 and 4120, that added together give a triangular number (1122751 = T₁₄₉₈).

The spelling of 11186314120 in words is "eleven billion, one hundred eighty-six million, three hundred fourteen thousand, one hundred twenty".