1242508800 has 480 divisors, whose sum is σ = 4688449920. Its totient is φ = 287539200.

The previous prime is 1242508777. The next prime is 1242508811. The reversal of 1242508800 is 88052421.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 9484735 + ... + 9484865.

It is an arithmetic number, because the mean of its divisors is an integer number (9767604).

Almost surely, 2^1242508800 is an apocalyptic number.

1242508800 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 1242508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344224960).

1242508800 is an abundant number, since it is smaller than the sum of its proper divisors (3445941120).

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

1242508800 is a wasteful number, since it uses less digits than its factorization.

1242508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1242508800 is about 35249.2382896425. The cubic root of 1242508800 is about 1075.0611250623.

The spelling of 1242508800 in words is "one billion, two hundred forty-two million, five hundred eight thousand, eight hundred".