1242512000 has 128 divisors (see below), whose sum is σ = 3131481600. Its totient is φ = 490214400.

The previous prime is 1242511987. The next prime is 1242512039. The reversal of 1242512000 is 2152421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1242512000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263509 + ... + 1264491.

It is an arithmetic number, because the mean of its divisors is an integer number (24464700).

Almost surely, 2^1242512000 is an apocalyptic number.

1242512000 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 1242512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565740800).

1242512000 is an abundant number, since it is smaller than the sum of its proper divisors (1888969600).

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

1242512000 is an frugal number, since it uses more digits than its factorization.

1242512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1242512000 is about 35249.2836806651. The cubic root of 1242512000 is about 1075.0620479780.

Adding to 1242512000 its reverse (2152421), we get a palindrome (1244664421).

The spelling of 1242512000 in words is "one billion, two hundred forty-two million, five hundred twelve thousand".