82123938717912 has 192 divisors, whose sum is σ = 275490073884480. Its totient is φ = 21521104690176.

The previous prime is 82123938717907. The next prime is 82123938717937. The reversal of 82123938717912 is 21971783932128.

82123938717912 is a `hidden beast` number, since 8 + 2 + 1 + 239 + 387 + 1 + 7 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82123938717912.

It is a congruent number.

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, 38889103 + ... + 40946430.

It is an arithmetic number, because the mean of its divisors is an integer number (1434844134815).

Almost surely, 2^{82123938717912} is an apocalyptic number.

It is an amenable number.

82123938717912 is an abundant number, since it is smaller than the sum of its proper divisors (193366135166568).

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

82123938717912 is a wasteful number, since it uses less digits than its factorization.

82123938717912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79835722 (or 79835715 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 82123938717912 in words is "eighty-two trillion, one hundred twenty-three billion, nine hundred thirty-eight million, seven hundred seventeen thousand, nine hundred twelve".