13522341200 has 120 divisors (see below), whose sum is σ = 33360807480. Its totient is φ = 5264179200.

The previous prime is 13522341191. The next prime is 13522341221. The reversal of 13522341200 is 214322531.

It can be written as a sum of positive squares in 12 ways, for example, as 5972816656 + 7549524544 = 77284^2 + 86888^2 .

It is a congruent number.

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, 9462086 + ... + 9463514.

It is an arithmetic number, because the mean of its divisors is an integer number (278006729).

Almost surely, 2^13522341200 is an apocalyptic number.

13522341200 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 13522341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680403740).

13522341200 is an abundant number, since it is smaller than the sum of its proper divisors (19838466280).

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

13522341200 is a wasteful number, since it uses less digits than its factorization.

13522341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13522341200 its reverse (214322531), we get a palindrome (13736663731).

The spelling of 13522341200 in words is "thirteen billion, five hundred twenty-two million, three hundred forty-one thousand, two hundred".