122432544 has 144 divisors (see below), whose sum is σ = 382643352. Its totient is φ = 36900864.

The previous prime is 122432537. The next prime is 122432573. The reversal of 122432544 is 445234221.

It can be written as a sum of positive squares in 4 ways, for example, as 61779600 + 60652944 = 7860^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198124 + ... + 198740.

Almost surely, 2^122432544 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 122432544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191321676).

122432544 is an abundant number, since it is smaller than the sum of its proper divisors (260210808).

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

122432544 is a wasteful number, since it uses less digits than its factorization.

122432544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 122432544 is about 11064.9240395043. The cubic root of 122432544 is about 496.5530165516.

Adding to 122432544 its reverse (445234221), we get a palindrome (567666765).

The spelling of 122432544 in words is "one hundred twenty-two million, four hundred thirty-two thousand, five hundred forty-four".