122004032241312 has 288 divisors, whose sum is σ = 386545509277200. Its totient is φ = 36242968559616.

The previous prime is 122004032241307. The next prime is 122004032241359. The reversal of 122004032241312 is 213142230400221.

122004032241312 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 403 + 2 + 241 + 3 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73516151112336 + 48487881128976 = 8574156^2 + 6963324^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2693639338 + ... + 2693684630.

Almost surely, 2^{122004032241312} is an apocalyptic number.

122004032241312 is a gapful number since it is divisible by the number (12) 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 122004032241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272754638600).

122004032241312 is an abundant number, since it is smaller than the sum of its proper divisors (264541477035888).

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

122004032241312 is a wasteful number, since it uses less digits than its factorization.

122004032241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70160 (or 70149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122004032241312 its reverse (213142230400221), we get a palindrome (335146262641533).

The spelling of 122004032241312 in words is "one hundred twenty-two trillion, four billion, thirty-two million, two hundred forty-one thousand, three hundred twelve".