82120200 has 192 divisors, whose sum is σ = 275607360. Its totient is φ = 20152320.

The previous prime is 82120187. The next prime is 82120219. The reversal of 82120200 is 202128.

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 82120200.

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, 846552 + ... + 846648.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 2^82120200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

82120200 is an abundant number, since it is smaller than the sum of its proper divisors (193487160).

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

82120200 is a wasteful number, since it uses less digits than its factorization.

82120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82120200 is about 9062.0196424417. The cubic root of 82120200 is about 434.6603240739.

Adding to 82120200 its reverse (202128), we get a palindrome (82322328).

The spelling of 82120200 in words is "eighty-two million, one hundred twenty thousand, two hundred".