1272620513448 has 192 divisors, whose sum is σ = 3538602175680. Its totient is φ = 413050060800.

The previous prime is 1272620513413. The next prime is 1272620513491. The reversal of 1272620513448 is 8443150262721.

1272620513448 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 620 + 5 + 13 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×1272620513448² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 254878440 + ... + 254883432.

It is an arithmetic number, because the mean of its divisors is an integer number (18430219665).

Almost surely, 2^{1272620513448} is an apocalyptic number.

1272620513448 is a gapful number since it is divisible by the number (18) 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 1272620513448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769301087840).

1272620513448 is an abundant number, since it is smaller than the sum of its proper divisors (2265981662232).

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

1272620513448 is a wasteful number, since it uses less digits than its factorization.

1272620513448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1272620513448 in words is "one trillion, two hundred seventy-two billion, six hundred twenty million, five hundred thirteen thousand, four hundred forty-eight".