1252512000 has 216 divisors, whose sum is σ = 4507939800. Its totient is φ = 333926400.

The previous prime is 1252511987. The next prime is 1252512007. The reversal of 1252512000 is 2152521.

It can be written as a sum of positive squares in 4 ways, for example, as 320553216 + 931958784 = 17904^2 + 30528^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1252512007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285826 + ... + 290174.

Almost surely, 2^1252512000 is an apocalyptic number.

1252512000 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 1252512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253969900).

1252512000 is an abundant number, since it is smaller than the sum of its proper divisors (3255427800).

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

1252512000 is an equidigital number, since it uses as much as digits as its factorization.

1252512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1252512000 is about 35390.8462741427. The cubic root of 1252512000 is about 1077.9384541766.

Adding to 1252512000 its reverse (2152521), we get a palindrome (1254664521).

The spelling of 1252512000 in words is "one billion, two hundred fifty-two million, five hundred twelve thousand".