1272787856041 has 9 divisors (see below), whose sum is σ = 1378241784759. Its totient is φ = 1174867559736.

The previous prime is 1272787856027. The next prime is 1272787856047. The reversal of 1272787856041 is 1406587872721.

It is a happy number.

The square root of 1272787856041 is 1128179.

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

It can be written as a sum of positive squares in only one way, i.e., 188282227225 + 1084505628816 = 433915^2 + 1041396^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1272787856041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1272787856047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14622936 + ... + 14709718.

Almost surely, 2^{1272787856041} is an apocalyptic number.

1272787856041 is the 1128179-th square number.

1272787856041 is the 564090-th centered octagonal number.

It is an amenable number.

1272787856041 is a deficient number, since it is larger than the sum of its proper divisors (105453928718).

1272787856041 is an frugal number, since it uses more digits than its factorization.

1272787856041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173592 (or 86796 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 58.

The spelling of 1272787856041 in words is "one trillion, two hundred seventy-two billion, seven hundred eighty-seven million, eight hundred fifty-six thousand, forty-one".