13120200 has 144 divisors (see below), whose sum is σ = 45482580. Its totient is φ = 3386880.

The previous prime is 13120199. The next prime is 13120201. The reversal of 13120200 is 202131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13120199) and next prime (13120201).

It can be written as a sum of positive squares in 6 ways, for example, as 11329956 + 1790244 = 3366^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13120201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66502 + ... + 66698.

Almost surely, 2^13120200 is an apocalyptic number.

13120200 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 13120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741290).

13120200 is an abundant number, since it is smaller than the sum of its proper divisors (32362380).

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

13120200 is a wasteful number, since it uses less digits than its factorization.

13120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13120200 is about 3622.1816630313. The cubic root of 13120200 is about 235.8559400416.

Adding to 13120200 its reverse (202131), we get a palindrome (13322331).

The spelling of 13120200 in words is "thirteen million, one hundred twenty thousand, two hundred".