13220120032 has 192 divisors, whose sum is σ = 32196528000. Its totient is φ = 5331701760.

The previous prime is 13220119999. The next prime is 13220120047. The reversal of 13220120032 is 23002102231.

13220120032 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 = 13220119988 and 13220120015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13049958 + ... + 13050970.

It is an arithmetic number, because the mean of its divisors is an integer number (167690250).

Almost surely, 2^13220120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264000).

13220120032 is an abundant number, since it is smaller than the sum of its proper divisors (18976407968).

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

13220120032 is a wasteful number, since it uses less digits than its factorization.

13220120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13220120032 its reverse (23002102231), we get a palindrome (36222222263).

The spelling of 13220120032 in words is "thirteen billion, two hundred twenty million, one hundred twenty thousand, thirty-two".