1251441200 has 60 divisors (see below), whose sum is σ = 3012665808. Its totient is φ = 499564800.

The previous prime is 1251441181. The next prime is 1251441221. The reversal of 1251441200 is 21441521.

It is a happy number.

It is a super-2 number, since 2×1251441200² = 3132210154114880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213509 + ... + 219291.

Almost surely, 2^1251441200 is an apocalyptic number.

1251441200 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 1251441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506332904).

1251441200 is an abundant number, since it is smaller than the sum of its proper divisors (1761224608).

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

1251441200 is a wasteful number, since it uses less digits than its factorization.

1251441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1251441200 is about 35375.7148337670. The cubic root of 1251441200 is about 1077.6311821808.

Adding to 1251441200 its reverse (21441521), we get a palindrome (1272882721).

The spelling of 1251441200 in words is "one billion, two hundred fifty-one million, four hundred forty-one thousand, two hundred".