13171200 has 240 divisors, whose sum is σ = 50740800. Its totient is φ = 3010560.

The previous prime is 13171183. The next prime is 13171241. The reversal of 13171200 is 217131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13171200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1881597 + ... + 1881603.

It is an arithmetic number, because the mean of its divisors is an integer number (211420).

Almost surely, 2^13171200 is an apocalyptic number.

13171200 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 13171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25370400).

13171200 is an abundant number, since it is smaller than the sum of its proper divisors (37569600).

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

13171200 is an frugal number, since it uses more digits than its factorization.

13171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13171200 is about 3629.2147911084. The cubic root of 13171200 is about 236.1611462845.

Multiplying 13171200 by its product of nonzero digits (42), we get a square (553190400 = 23520²).

13171200 divided by its product of nonzero digits (42) gives a square (313600 = 560²).

Adding to 13171200 its reverse (217131), we get a palindrome (13388331).

The spelling of 13171200 in words is "thirteen million, one hundred seventy-one thousand, two hundred".