122847446016 has 165 divisors, whose sum is σ = 367148173909. Its totient is φ = 40915501056.

The previous prime is 122847445979. The next prime is 122847446017. The reversal of 122847446016 is 610644748221.

The square root of 122847446016 is 350496.

It is a perfect power (a square), and thus also a powerful number.

122847446016 is a `hidden beast` number, since 12 + 28 + 4 + 7 + 4 + 4 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41225241600 + 81622204416 = 203040^2 + 285696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122847446017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 100942240 + ... + 100943456.

Almost surely, 2^122847446016 is an apocalyptic number.

122847446016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122847446016 is the 350496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122847446016

122847446016 is an abundant number, since it is smaller than the sum of its proper divisors (244300727893).

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

122847446016 is an frugal number, since it uses more digits than its factorization.

122847446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 122847446016 in words is "one hundred twenty-two billion, eight hundred forty-seven million, four hundred forty-six thousand, sixteen".