18120200 has 108 divisors (see below), whose sum is σ = 50173965. Its totient is φ = 6068160.

The previous prime is 18120199. The next prime is 18120203. The reversal of 18120200 is 202181.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 17757796 + 362404 = 4214^2 + 602^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3010.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (18120203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 421379 + ... + 421421.

Almost surely, 2^18120200 is an apocalyptic number.

18120200 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 18120200

18120200 is an abundant number, since it is smaller than the sum of its proper divisors (32053765).

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

18120200 is a wasteful number, since it uses less digits than its factorization.

18120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 18120200 is about 4256.7828227430. The cubic root of 18120200 is about 262.6562033275.

Multiplying 18120200 by its product of nonzero digits (32), we get a square (579846400 = 24080²).

Adding to 18120200 its reverse (202181), we get a palindrome (18322381).

The spelling of 18120200 in words is "eighteen million, one hundred twenty thousand, two hundred".