13127220 has 72 divisors (see below), whose sum is σ = 40117896. Its totient is φ = 3474432.

The previous prime is 13127209. The next prime is 13127221. The reversal of 13127220 is 2272131.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 12659364 = 684^2 + 3558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13127193 and 13127202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41784 + ... + 42096.

It is an arithmetic number, because the mean of its divisors is an integer number (557193).

Almost surely, 2^13127220 is an apocalyptic number.

13127220 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 13127220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058948).

13127220 is an abundant number, since it is smaller than the sum of its proper divisors (26990676).

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

13127220 is a wasteful number, since it uses less digits than its factorization.

13127220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13127220 is about 3623.1505627009. The cubic root of 13127220 is about 235.8979976700.

Adding to 13127220 its reverse (2272131), we get a palindrome (15399351).

The spelling of 13127220 in words is "thirteen million, one hundred twenty-seven thousand, two hundred twenty".