1242504016 has 80 divisors (see below), whose sum is σ = 2706858000. Its totient is φ = 548720640.

The previous prime is 1242504013. The next prime is 1242504071. The reversal of 1242504016 is 6104052421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 372490000 + 870014016 = 19300^2 + 29496^2 .

It is a super-2 number, since 2×1242504016² = 3087632459552256512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242504013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450610 + ... + 453358.

It is an arithmetic number, because the mean of its divisors is an integer number (33835725).

Almost surely, 2^1242504016 is an apocalyptic number.

1242504016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242504016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353429000).

1242504016 is an abundant number, since it is smaller than the sum of its proper divisors (1464353984).

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

1242504016 is a wasteful number, since it uses less digits than its factorization.

1242504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1242504016 is about 35249.1704299548. The cubic root of 1242504016 is about 1075.0597453003.

Adding to 1242504016 its reverse (6104052421), we get a palindrome (7346556437).

The spelling of 1242504016 in words is "one billion, two hundred forty-two million, five hundred four thousand, sixteen".