1242432000 has 320 divisors, whose sum is σ = 4596134400. Its totient is φ = 330854400.

The previous prime is 1242431999. The next prime is 1242432013. The reversal of 1242432000 is 2342421.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727641 + ... + 1728359.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 2^1242432000 is an apocalyptic number.

1242432000 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 1242432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298067200).

1242432000 is an abundant number, since it is smaller than the sum of its proper divisors (3353702400).

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

1242432000 is an frugal number, since it uses more digits than its factorization.

1242432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1242432000 is about 35248.1488875657. The cubic root of 1242432000 is about 1075.0389746100.

Adding to 1242432000 its reverse (2342421), we get a palindrome (1244774421).

The spelling of 1242432000 in words is "one billion, two hundred forty-two million, four hundred thirty-two thousand".