1281107059600 has 135 divisors (see below), whose sum is σ = 3270542755417. Its totient is φ = 482154250240.

The previous prime is 1281107059579. The next prime is 1281107059601. The reversal of 1281107059600 is 69507011821.

It is a happy number.

The square root of 1281107059600 is 1131860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 585978002064 + 695129057536 = 765492^2 + 833744^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1281107059601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 384830736 + ... + 384834064.

Almost surely, 2^{1281107059600} is an apocalyptic number.

1281107059600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1281107059600 is the 1131860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1281107059600

1281107059600 is an abundant number, since it is smaller than the sum of its proper divisors (1989435695817).

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

1281107059600 is an frugal number, since it uses more digits than its factorization.

1281107059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 1281107059600 in words is "one trillion, two hundred eighty-one billion, one hundred seven million, fifty-nine thousand, six hundred".