82122460119 has 64 divisors (see below), whose sum is σ = 141242572800. Its totient is φ = 46189668096.

The previous prime is 82122460103. The next prime is 82122460129. The reversal of 82122460119 is 91106422128.

82122460119 is a `hidden beast` number, since 8 + 2 + 12 + 24 + 601 + 19 = 666.

It is not a de Polignac number, because 82122460119 - 2⁴ = 82122460103 is a prime.

It is a super-2 number, since 2×82122460119² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82122460129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3740137 + ... + 3762029.

It is an arithmetic number, because the mean of its divisors is an integer number (2206915200).

Almost surely, 2^82122460119 is an apocalyptic number.

82122460119 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

82122460119 is a deficient number, since it is larger than the sum of its proper divisors (59120112681).

82122460119 is a wasteful number, since it uses less digits than its factorization.

82122460119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 82122460119 in words is "eighty-two billion, one hundred twenty-two million, four hundred sixty thousand, one hundred nineteen".