122709119904 has 288 divisors, whose sum is σ = 405259231104. Its totient is φ = 34494750720.

The previous prime is 122709119893. The next prime is 122709119963. The reversal of 122709119904 is 409911907221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122709119904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122709119904.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82854844 + ... + 82856324.

It is an arithmetic number, because the mean of its divisors is an integer number (1407150108).

Almost surely, 2^122709119904 is an apocalyptic number.

122709119904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122709119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202629615552).

122709119904 is an abundant number, since it is smaller than the sum of its proper divisors (282550111200).

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

122709119904 is a wasteful number, since it uses less digits than its factorization.

122709119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 122709119904 in words is "one hundred twenty-two billion, seven hundred nine million, one hundred nineteen thousand, nine hundred four".