82122214007 has 16 divisors (see below), whose sum is σ = 90111385440. Its totient is φ = 74493468672.

The previous prime is 82122213997. The next prime is 82122214037. The reversal of 82122214007 is 70041222128.

It is a cyclic number.

It is not a de Polignac number, because 82122214007 - 2¹⁴ = 82122197623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82122214037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129623 + ... + 425495.

It is an arithmetic number, because the mean of its divisors is an integer number (5631961590).

Almost surely, 2^82122214007 is an apocalyptic number.

82122214007 is a deficient number, since it is larger than the sum of its proper divisors (7989171433).

82122214007 is a wasteful number, since it uses less digits than its factorization.

82122214007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296482.

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 82122214007 in words is "eighty-two billion, one hundred twenty-two million, two hundred fourteen thousand, seven".