82121841216 has 42 divisors (see below), whose sum is σ = 235387431942. Its totient is φ = 27373946880.

The previous prime is 82121841209. The next prime is 82121841317. The reversal of 82121841216 is 61214812128.

82121841216 is a `hidden beast` number, since 8 + 21 + 218 + 412 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81855498816 + 266342400 = 286104^2 + 16320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71285745 + ... + 71286896.

Almost surely, 2^82121841216 is an apocalyptic number.

It is an amenable number.

82121841216 is an abundant number, since it is smaller than the sum of its proper divisors (153265590726).

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

82121841216 is a wasteful number, since it uses less digits than its factorization.

82121841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142572659 (or 142572646 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The spelling of 82121841216 in words is "eighty-two billion, one hundred twenty-one million, eight hundred forty-one thousand, two hundred sixteen".