1272753945216 has 256 divisors, whose sum is σ = 4077216460800. Its totient is φ = 388531261440.

The previous prime is 1272753945181. The next prime is 1272753945257. The reversal of 1272753945216 is 6125493572721.

1272753945216 is a `hidden beast` number, since 1 + 2 + 7 + 27 + 5 + 3 + 94 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 5594326 + ... + 5817386.

It is an arithmetic number, because the mean of its divisors is an integer number (15926626800).

Almost surely, 2^{1272753945216} is an apocalyptic number.

1272753945216 is a gapful number since it is divisible by the number (16) 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 1272753945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038608230400).

1272753945216 is an abundant number, since it is smaller than the sum of its proper divisors (2804462515584).

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

1272753945216 is a wasteful number, since it uses less digits than its factorization.

1272753945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223224 (or 223206 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 1272753945216 in words is "one trillion, two hundred seventy-two billion, seven hundred fifty-three million, nine hundred forty-five thousand, two hundred sixteen".