1272802338720 has 960 divisors, whose sum is σ = 4984200853632. Its totient is φ = 303326208000.

The previous prime is 1272802338679. The next prime is 1272802338739. The reversal of 1272802338720 is 278332082721.

1272802338720 is a `hidden beast` number, since 1 + 272 + 80 + 233 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×1272802338720² (a number of 25 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 2760959290 + ... + 2760959750.

Almost surely, 2^{1272802338720} is an apocalyptic number.

1272802338720 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 1272802338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492100426816).

1272802338720 is an abundant number, since it is smaller than the sum of its proper divisors (3711398514912).

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

1272802338720 is a wasteful number, since it uses less digits than its factorization.

1272802338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1272802338720 in words is "one trillion, two hundred seventy-two billion, eight hundred two million, three hundred thirty-eight thousand, seven hundred twenty".