1272075713280 has 216 divisors, whose sum is σ = 4427610943392. Its totient is φ = 337188421632.

The previous prime is 1272075713263. The next prime is 1272075713297. The reversal of 1272075713280 is 823175702721.

1272075713280 is a `hidden beast` number, since 1 + 2 + 72 + 0 + 7 + 571 + 3 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1272075713263) and next prime (1272075713297).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1593232 + ... + 2254448.

It is an arithmetic number, because the mean of its divisors is an integer number (20498198812).

Almost surely, 2^{1272075713280} is an apocalyptic number.

1272075713280 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 1272075713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213805471696).

1272075713280 is an abundant number, since it is smaller than the sum of its proper divisors (3155535230112).

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

1272075713280 is a wasteful number, since it uses less digits than its factorization.

1272075713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661411 (or 661394 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 1272075713280 in words is "one trillion, two hundred seventy-two billion, seventy-five million, seven hundred thirteen thousand, two hundred eighty".