8212245012 has 72 divisors (see below), whose sum is σ = 22043385000. Its totient is φ = 2568941568.

The previous prime is 8212244947. The next prime is 8212245017. The reversal of 8212245012 is 2105422128.

8212245012 is a `hidden beast` number, since 82 + 122 + 450 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 794901636 + 7417343376 = 28194^2 + 86124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212245017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194364 + ... + 232812.

It is an arithmetic number, because the mean of its divisors is an integer number (306158125).

Almost surely, 2^8212245012 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 8212245012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021692500).

8212245012 is an abundant number, since it is smaller than the sum of its proper divisors (13831139988).

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

8212245012 is a wasteful number, since it uses less digits than its factorization.

8212245012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38825 (or 38820 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8212245012 is about 90621.4379272366. The cubic root of 8212245012 is about 2017.5329333172.

The spelling of 8212245012 in words is "eight billion, two hundred twelve million, two hundred forty-five thousand, twelve".