13184820120 has 128 divisors (see below), whose sum is σ = 40281546240. Its totient is φ = 3451683840.

The previous prime is 13184820083. The next prime is 13184820151. The reversal of 13184820120 is 2102848131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2497804 + ... + 2503076.

It is an arithmetic number, because the mean of its divisors is an integer number (314699580).

Almost surely, 2^13184820120 is an apocalyptic number.

13184820120 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 13184820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140773120).

13184820120 is an abundant number, since it is smaller than the sum of its proper divisors (27096726120).

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

13184820120 is a wasteful number, since it uses less digits than its factorization.

13184820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 13184820120 in words is "thirteen billion, one hundred eighty-four million, eight hundred twenty thousand, one hundred twenty".