1251532215200 has 36 divisors (see below), whose sum is σ = 3055303022310. Its totient is φ = 500612885760.

The previous prime is 1251532215163. The next prime is 1251532215203. The reversal of 1251532215200 is 25122351521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 508260629776 + 743271585424 = 712924^2 + 862132^2 .

It is a super-2 number, since 2×1251532215200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1251532215203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 782206835 + ... + 782208434.

Almost surely, 2^{1251532215200} is an apocalyptic number.

1251532215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251532215200 is an abundant number, since it is smaller than the sum of its proper divisors (1803770807110).

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

1251532215200 is a wasteful number, since it uses less digits than its factorization.

1251532215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564415289 (or 1564415276 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 1251532215200 its reverse (25122351521), we get a palindrome (1276654566721).

The spelling of 1251532215200 in words is "one trillion, two hundred fifty-one billion, five hundred thirty-two million, two hundred fifteen thousand, two hundred".