13442252200 has 96 divisors (see below), whose sum is σ = 34292727000. Its totient is φ = 4869596160.

The previous prime is 13442252171. The next prime is 13442252207. The reversal of 13442252200 is 225224431.

It can be written as a sum of positive squares in 12 ways, for example, as 17322244 + 13424929956 = 4162^2 + 115866^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13442252207) 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, 89026 + ... + 186574.

Almost surely, 2^13442252200 is an apocalyptic number.

13442252200 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 13442252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146363500).

13442252200 is an abundant number, since it is smaller than the sum of its proper divisors (20850474800).

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

13442252200 is a wasteful number, since it uses less digits than its factorization.

13442252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97631 (or 97622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 13442252200 its reverse (225224431), we get a palindrome (13667476631).

The spelling of 13442252200 in words is "thirteen billion, four hundred forty-two million, two hundred fifty-two thousand, two hundred".