122504436 has 54 divisors (see below), whose sum is σ = 320065746. Its totient is φ = 39506400.

The previous prime is 122504429. The next prime is 122504449. The reversal of 122504436 is 634405221.

122504436 is a `hidden beast` number, since 1 + 225 + 0 + 4 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 21622500 = 10044^2 + 4650^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32826 + ... + 36366.

Almost surely, 2^122504436 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 122504436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160032873).

122504436 is an abundant number, since it is smaller than the sum of its proper divisors (197561310).

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

122504436 is a wasteful number, since it uses less digits than its factorization.

122504436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122504436 is about 11068.1722068280. The cubic root of 122504436 is about 496.6501889843.

Adding to 122504436 its reverse (634405221), we get a palindrome (756909657).

The spelling of 122504436 in words is "one hundred twenty-two million, five hundred four thousand, four hundred thirty-six".