122081345985 has 64 divisors (see below), whose sum is σ = 203274731520. Its totient is φ = 62497440000.

The previous prime is 122081345959. The next prime is 122081345989. The reversal of 122081345985 is 589543180221.

It is not a de Polignac number, because 122081345985 - 2⁷ = 122081345857 is a prime.

It is a super-3 number, since 3×122081345985³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122081345989) 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 63 ways as a sum of consecutive naturals, for example, 88399995 + ... + 88401375.

It is an arithmetic number, because the mean of its divisors is an integer number (3176167680).

Almost surely, 2^122081345985 is an apocalyptic number.

122081345985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122081345985 is a deficient number, since it is larger than the sum of its proper divisors (81193385535).

122081345985 is a wasteful number, since it uses less digits than its factorization.

122081345985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830.

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 122081345985 in words is "one hundred twenty-two billion, eighty-one million, three hundred forty-five thousand, nine hundred eighty-five".