1272083791104 has 162 divisors, whose sum is σ = 4266544805250. Its totient is φ = 363452479488.

The previous prime is 1272083791087. The next prime is 1272083791133. The reversal of 1272083791104 is 4011973802721.

1272083791104 is a `hidden beast` number, since 1 + 272 + 0 + 8 + 379 + 1 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 752646472704 + 519437318400 = 867552^2 + 720720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1272083791104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5520979 + ... + 5746770.

Almost surely, 2^{1272083791104} is an apocalyptic number.

1272083791104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1272083791104 is an abundant number, since it is smaller than the sum of its proper divisors (2994461014146).

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

1272083791104 is a wasteful number, since it uses less digits than its factorization.

1272083791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267785 (or 11267761 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1272083791104 in words is "one trillion, two hundred seventy-two billion, eighty-three million, seven hundred ninety-one thousand, one hundred four".