122163839104 has 64 divisors (see below), whose sum is σ = 255214863000. Its totient is φ = 58167631872.

The previous prime is 122163839099. The next prime is 122163839197. The reversal of 122163839104 is 401938361221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93856449600 + 28307389504 = 306360^2 + 168248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45562 + ... + 496390.

Almost surely, 2^122163839104 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 122163839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127607431500).

122163839104 is an abundant number, since it is smaller than the sum of its proper divisors (133051023896).

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

122163839104 is an equidigital number, since it uses as much as digits as its factorization.

122163839104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450945 (or 450933 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 122163839104 in words is "one hundred twenty-two billion, one hundred sixty-three million, eight hundred thirty-nine thousand, one hundred four".