1272335325705 has 48 divisors (see below), whose sum is σ = 2239935534720. Its totient is φ = 667976601600.

The previous prime is 1272335325689. The next prime is 1272335325727. The reversal of 1272335325705 is 5075235332721.

1272335325705 is a `hidden beast` number, since 1 + 2 + 7 + 23 + 3 + 53 + 2 + 570 + 5 = 666.

It is not a de Polignac number, because 1272335325705 - 2⁴ = 1272335325689 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737366 + ... + 2358624.

It is an arithmetic number, because the mean of its divisors is an integer number (46665323640).

Almost surely, 2^{1272335325705} is an apocalyptic number.

1272335325705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1272335325705 is a deficient number, since it is larger than the sum of its proper divisors (967600209015).

1272335325705 is a wasteful number, since it uses less digits than its factorization.

1272335325705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621982 (or 621979 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 1272335325705 in words is "one trillion, two hundred seventy-two billion, three hundred thirty-five million, three hundred twenty-five thousand, seven hundred five".