82122042240 has 1024 divisors, whose sum is σ = 352864512000. Its totient is φ = 17650483200.

The previous prime is 82122042203. The next prime is 82122042251. The reversal of 82122042240 is 4224022128.

82122042240 is a `hidden beast` number, since 8 + 212 + 20 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 143821155 + ... + 143821725.

It is an arithmetic number, because the mean of its divisors is an integer number (344594250).

Almost surely, 2^82122042240 is an apocalyptic number.

82122042240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82122042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256000).

82122042240 is an abundant number, since it is smaller than the sum of its proper divisors (270742469760).

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

82122042240 is a wasteful number, since it uses less digits than its factorization.

82122042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 82122042240 its reverse (4224022128), we get a palindrome (86346064368).

The spelling of 82122042240 in words is "eighty-two billion, one hundred twenty-two million, forty-two thousand, two hundred forty".