1272981872736 has 192 divisors, whose sum is σ = 4282931842560. Its totient is φ = 360309772800.

The previous prime is 1272981872683. The next prime is 1272981872741. The reversal of 1272981872736 is 6372781892721.

1272981872736 is a `hidden beast` number, since 1 + 272 + 98 + 1 + 8 + 7 + 273 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336415 + ... + 1630686.

It is an arithmetic number, because the mean of its divisors is an integer number (22306936680).

Almost surely, 2^{1272981872736} is an apocalyptic number.

1272981872736 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 1272981872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141465921280).

1272981872736 is an abundant number, since it is smaller than the sum of its proper divisors (3009949969824).

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

1272981872736 is a wasteful number, since it uses less digits than its factorization.

1272981872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967234 (or 1967220 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 1272981872736 in words is "one trillion, two hundred seventy-two billion, nine hundred eighty-one million, eight hundred seventy-two thousand, seven hundred thirty-six".