1272086225424 has 405 divisors, whose sum is σ = 4298323022253. Its totient is φ = 350162410752.

The previous prime is 1272086225369. The next prime is 1272086225441. The reversal of 1272086225424 is 4245226802721.

The square root of 1272086225424 is 1127868.

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

1272086225424 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 0 + 86 + 22 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 667051159824 + 605035065600 = 816732^2 + 777840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1272086225424.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2747486217 + ... + 2747486679.

Almost surely, 2^{1272086225424} is an apocalyptic number.

1272086225424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1272086225424 is the 1127868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272086225424

1272086225424 is an abundant number, since it is smaller than the sum of its proper divisors (3026236796829).

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

1272086225424 is an equidigital number, since it uses as much as digits as its factorization.

1272086225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1272086225424 in words is "one trillion, two hundred seventy-two billion, eighty-six million, two hundred twenty-five thousand, four hundred twenty-four".