1242516000 has 192 divisors, whose sum is σ = 4440998016. Its totient is φ = 301184000.

The previous prime is 1242515969. The next prime is 1242516019. The reversal of 1242516000 is 6152421.

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 31 ways as a sum of consecutive naturals, for example, 127294 + ... + 136706.

It is an arithmetic number, because the mean of its divisors is an integer number (23130198).

Almost surely, 2^1242516000 is an apocalyptic number.

1242516000 is a gapful number since it is divisible by the number (10) 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 1242516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220499008).

1242516000 is an abundant number, since it is smaller than the sum of its proper divisors (3198482016).

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

1242516000 is a wasteful number, since it uses less digits than its factorization.

1242516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1242516000 is about 35249.3404193610. The cubic root of 1242516000 is about 1075.0632016204.

Adding to 1242516000 its reverse (6152421), we get a palindrome (1248668421).

The spelling of 1242516000 in words is "one billion, two hundred forty-two million, five hundred sixteen thousand".