122403125344000 has 72 divisors (see below), whose sum is σ = 304921485702288. Its totient is φ = 48961250124800.

The previous prime is 122403125343997. The next prime is 122403125344033. The reversal of 122403125344000 is 443521304221.

It is a super-3 number, since 3×122403125344000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1912516834 + ... + 1912580833.

It is an arithmetic number, because the mean of its divisors is an integer number (4235020634754).

Almost surely, 2^{122403125344000} is an apocalyptic number.

122403125344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122403125344000 is an abundant number, since it is smaller than the sum of its proper divisors (182518360358288).

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

122403125344000 is an frugal number, since it uses more digits than its factorization.

122403125344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825097698 (or 3825097674 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 122403125344000 its reverse (443521304221), we get a palindrome (122846646648221).

The spelling of 122403125344000 in words is "one hundred twenty-two trillion, four hundred three billion, one hundred twenty-five million, three hundred forty-four thousand".