82121412128 has 96 divisors (see below), whose sum is σ = 191256629760. Its totient is φ = 33961374720.

The previous prime is 82121412073. The next prime is 82121412137.

82121412128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a junction number, because it is equal to n+sod(n) for n = 82121412094 and 82121412103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17348450 + ... + 17353182.

It is an arithmetic number, because the mean of its divisors is an integer number (1992256560).

Almost surely, 2^82121412128 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 82121412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95628314880).

82121412128 is an abundant number, since it is smaller than the sum of its proper divisors (109135217632).

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

82121412128 is a wasteful number, since it uses less digits than its factorization.

82121412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7442 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The spelling of 82121412128 in words is "eighty-two billion, one hundred twenty-one million, four hundred twelve thousand, one hundred twenty-eight".