82212000 has 384 divisors, whose sum is σ = 317011968. Its totient is φ = 18432000.

The previous prime is 82211989. The next prime is 82212007. The reversal of 82212000 is 21228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82212007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651985 + ... + 2652015.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^82212000 is an apocalyptic number.

82212000 is a gapful number since it is divisible by the number (80) 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 82212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

82212000 is an abundant number, since it is smaller than the sum of its proper divisors (234799968).

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

82212000 is a wasteful number, since it uses less digits than its factorization.

82212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

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

The square root of 82212000 is about 9067.0833237596. The cubic root of 82212000 is about 434.8222288532.

Adding to 82212000 its reverse (21228), we get a palindrome (82233228).

The spelling of 82212000 in words is "eighty-two million, two hundred twelve thousand".