82324110120 has 192 divisors, whose sum is σ = 287522136000. Its totient is φ = 18802022400.

The previous prime is 82324110107. The next prime is 82324110133. The reversal of 82324110120 is 2101142328.

It is an interprime number because it is at equal distance from previous prime (82324110107) and next prime (82324110133).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8527056 + ... + 8536704.

It is an arithmetic number, because the mean of its divisors is an integer number (1497511125).

Almost surely, 2^82324110120 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 82324110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143761068000).

82324110120 is an abundant number, since it is smaller than the sum of its proper divisors (205198025880).

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

82324110120 is a wasteful number, since it uses less digits than its factorization.

82324110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 82324110120 its reverse (2101142328), we get a palindrome (84425252448).

The spelling of 82324110120 in words is "eighty-two billion, three hundred twenty-four million, one hundred ten thousand, one hundred twenty".