13400221120 has 112 divisors (see below), whose sum is σ = 37487949408. Its totient is φ = 4497960960.

The previous prime is 13400221111. The next prime is 13400221123. The reversal of 13400221120 is 2112200431.

13400221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13400221094 and 13400221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400221123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100659 + ... + 192178.

It is an arithmetic number, because the mean of its divisors is an integer number (334713834).

Almost surely, 2^13400221120 is an apocalyptic number.

13400221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400221120 is an abundant number, since it is smaller than the sum of its proper divisors (24087728288).

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

13400221120 is a wasteful number, since it uses less digits than its factorization.

13400221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292878 (or 292868 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13400221120 its reverse (2112200431), we get a palindrome (15512421551).

The spelling of 13400221120 in words is "thirteen billion, four hundred million, two hundred twenty-one thousand, one hundred twenty".