1272600585216 has 165 divisors, whose sum is σ = 3801204585409. Its totient is φ = 424091897856.

The previous prime is 1272600585197. The next prime is 1272600585247. The reversal of 1272600585216 is 6125850062721.

The square root of 1272600585216 is 1128096.

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

1272600585216 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 60 + 0 + 585 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1030631040000 + 241969545216 = 1015200^2 + 491904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 324889690 + ... + 324893606.

Almost surely, 2^{1272600585216} is an apocalyptic number.

1272600585216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1272600585216 is the 1128096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272600585216

1272600585216 is an abundant number, since it is smaller than the sum of its proper divisors (2528604000193).

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

1272600585216 is an frugal number, since it uses more digits than its factorization.

1272600585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1272600585216 in words is "one trillion, two hundred seventy-two billion, six hundred million, five hundred eighty-five thousand, two hundred sixteen".