122504512 has 56 divisors (see below), whose sum is σ = 265512296. Its totient is φ = 55738368.

The previous prime is 122504507. The next prime is 122504527. The reversal of 122504512 is 215405221.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 101929216 = 4536^2 + 10096^2 .

It is a congruent number.

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, 59728 + ... + 61744.

It is an arithmetic number, because the mean of its divisors is an integer number (4741291).

Almost surely, 2^122504512 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 122504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132756148).

122504512 is an abundant number, since it is smaller than the sum of its proper divisors (143007784).

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

122504512 is a wasteful number, since it uses less digits than its factorization.

122504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 122504512 is about 11068.1756400953. The cubic root of 122504512 is about 496.6502916892.

Adding to 122504512 its reverse (215405221), we get a palindrome (337909733).

The spelling of 122504512 in words is "one hundred twenty-two million, five hundred four thousand, five hundred twelve".