181012200 has 192 divisors, whose sum is σ = 591926400. Its totient is φ = 45696000.

The previous prime is 181012159. The next prime is 181012213. The reversal of 181012200 is 2210181.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 181012200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1757349 + ... + 1757451.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2^181012200 is an apocalyptic number.

181012200 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 181012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

181012200 is an abundant number, since it is smaller than the sum of its proper divisors (410914200).

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

181012200 is a wasteful number, since it uses less digits than its factorization.

181012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 181012200 is about 13454.0774488629. The cubic root of 181012200 is about 565.6779915351.

Adding to 181012200 its reverse (2210181), we get a palindrome (183222381).

It can be divided in two parts, 18101 and 2200, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 181012200 in words is "one hundred eighty-one million, twelve thousand, two hundred".