82121722022928 has 640 divisors, whose sum is σ = 259686236160000. Its totient is φ = 22324551782400.

The previous prime is 82121722022911. The next prime is 82121722022929. The reversal of 82121722022928 is 82922022712128.

It is a super-2 number, since 2×82121722022928² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82121722022929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9156169228 + ... + 9156178196.

It is an arithmetic number, because the mean of its divisors is an integer number (405759744000).

Almost surely, 2^{82121722022928} 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 82121722022928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129843118080000).

82121722022928 is an abundant number, since it is smaller than the sum of its proper divisors (177564514137072).

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

82121722022928 is a wasteful number, since it uses less digits than its factorization.

82121722022928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 82121722022928 in words is "eighty-two trillion, one hundred twenty-one billion, seven hundred twenty-two million, twenty-two thousand, nine hundred twenty-eight".