1261454122560 has 448 divisors, whose sum is σ = 4486558464000. Its totient is φ = 298415259648.

The previous prime is 1261454122471. The next prime is 1261454122567. The reversal of 1261454122560 is 652214541621.

It is not an unprimeable number, because it can be changed into a prime (1261454122567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 61695699 + ... + 61716141.

Almost surely, 2^{1261454122560} is an apocalyptic number.

1261454122560 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 1261454122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243279232000).

1261454122560 is an abundant number, since it is smaller than the sum of its proper divisors (3225104341440).

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

1261454122560 is a wasteful number, since it uses less digits than its factorization.

1261454122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698 (or 20688 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 1261454122560 in words is "one trillion, two hundred sixty-one billion, four hundred fifty-four million, one hundred twenty-two thousand, five hundred sixty".