1252521200 has 240 divisors, whose sum is σ = 3588389376. Its totient is φ = 411264000.

The previous prime is 1252521199. The next prime is 1252521217. The reversal of 1252521200 is 21252521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12160349 + ... + 12160451.

Almost surely, 2^1252521200 is an apocalyptic number.

1252521200 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 1252521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794194688).

1252521200 is an abundant number, since it is smaller than the sum of its proper divisors (2335868176).

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

1252521200 is a wasteful number, since it uses less digits than its factorization.

1252521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1252521200 is about 35390.9762510163. The cubic root of 1252521200 is about 1077.9410934087.

Adding to 1252521200 its reverse (21252521), we get a palindrome (1273773721).

The spelling of 1252521200 in words is "one billion, two hundred fifty-two million, five hundred twenty-one thousand, two hundred".