122325114311504 has 40 divisors (see below), whose sum is σ = 255244319437800. Its totient is φ = 56455917170688.

The previous prime is 122325114311467. The next prime is 122325114311531. The reversal of 122325114311504 is 405113411523221.

It can be written as a sum of positive squares in 4 ways, for example, as 15957244601104 + 106367869710400 = 3994652^2 + 10313480^2 .

It is a super-3 number, since 3×122325114311504³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069929 + ... + 15939720.

It is an arithmetic number, because the mean of its divisors is an integer number (6381107985945).

Almost surely, 2^{122325114311504} is an apocalyptic number.

It is an amenable number.

122325114311504 is an abundant number, since it is smaller than the sum of its proper divisors (132919205126296).

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

122325114311504 is a wasteful number, since it uses less digits than its factorization.

122325114311504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040607 (or 19040601 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 122325114311504 its reverse (405113411523221), we get a palindrome (527438525834725).

The spelling of 122325114311504 in words is "one hundred twenty-two trillion, three hundred twenty-five billion, one hundred fourteen million, three hundred eleven thousand, five hundred four".