1260344131200 has 2160 divisors, whose sum is σ = 5848877168550. Its totient is φ = 257596416000.

The previous prime is 1260344131187. The next prime is 1260344131223. The reversal of 1260344131200 is 21314430621.

It is a happy number.

1260344131200 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 344 + 1 + 312 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 565708562496 + 694635568704 = 752136^2 + 833448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 20661379170 + ... + 20661379230.

Almost surely, 2^{1260344131200} is an apocalyptic number.

1260344131200 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 1260344131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924438584275).

1260344131200 is an abundant number, since it is smaller than the sum of its proper divisors (4588533037350).

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

1260344131200 is an equidigital number, since it uses as much as digits as its factorization.

1260344131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1260344131200 its reverse (21314430621), we get a palindrome (1281658561821).

The spelling of 1260344131200 in words is "one trillion, two hundred sixty billion, three hundred forty-four million, one hundred thirty-one thousand, two hundred".