181201020 has 288 divisors, whose sum is σ = 694987776. Its totient is φ = 34675200.

The previous prime is 181201003. The next prime is 181201067. The reversal of 181201020 is 20102181.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420205 + ... + 420635.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^181201020 is an apocalyptic number.

181201020 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 181201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

181201020 is an abundant number, since it is smaller than the sum of its proper divisors (513786756).

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

181201020 is a wasteful number, since it uses less digits than its factorization.

181201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

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

The square root of 181201020 is about 13461.0928233929. The cubic root of 181201020 is about 565.8746158517.

The spelling of 181201020 in words is "one hundred eighty-one million, two hundred one thousand, twenty".