13212160 has 80 divisors (see below), whose sum is σ = 34200936. Its totient is φ = 4866048.

The previous prime is 13212151. The next prime is 13212161. The reversal of 13212160 is 6121231.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 3873024 = 3056^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13212160² = 349122343731200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33082 + ... + 33478.

Almost surely, 2^13212160 is an apocalyptic number.

13212160 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 13212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100468).

13212160 is an abundant number, since it is smaller than the sum of its proper divisors (20988776).

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

13212160 is an equidigital number, since it uses as much as digits as its factorization.

13212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13212160 is about 3634.8535046134. The cubic root of 13212160 is about 236.4056988080.

Adding to 13212160 its reverse (6121231), we get a palindrome (19333391).

It can be divided in two parts, 1321 and 2160, that added together give a square (3481 = 59²).

The spelling of 13212160 in words is "thirteen million, two hundred twelve thousand, one hundred sixty".