13122200 has 144 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 4112640.

The previous prime is 13122191. The next prime is 13122211. The reversal of 13122200 is 222131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127349 + ... + 127451.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

Almost surely, 2^13122200 is an apocalyptic number.

13122200 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 13122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

13122200 is an abundant number, since it is smaller than the sum of its proper divisors (25469080).

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

13122200 is a wasteful number, since it uses less digits than its factorization.

13122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13122200 is about 3622.4577292220. The cubic root of 13122200 is about 235.8679237998.

Adding to 13122200 its reverse (222131), we get a palindrome (13344331).

It can be divided in two parts, 13122 and 200, that multiplied together give a square (2624400 = 1620²).

The spelling of 13122200 in words is "thirteen million, one hundred twenty-two thousand, two hundred".