11314124120 has 192 divisors, whose sum is σ = 29328194880. Its totient is φ = 3917641728.

The previous prime is 11314124117. The next prime is 11314124141. The reversal of 11314124120 is 2142141311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11314124092 and 11314124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8239754 + ... + 8241126.

It is an arithmetic number, because the mean of its divisors is an integer number (152751015).

Almost surely, 2^11314124120 is an apocalyptic number.

11314124120 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 11314124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664097440).

11314124120 is an abundant number, since it is smaller than the sum of its proper divisors (18014070760).

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

11314124120 is a wasteful number, since it uses less digits than its factorization.

11314124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11314124120 its reverse (2142141311), we get a palindrome (13456265431).

The spelling of 11314124120 in words is "eleven billion, three hundred fourteen million, one hundred twenty-four thousand, one hundred twenty".