1272285504 has 84 divisors (see below), whose sum is σ = 4167757984. Its totient is φ = 363508992.

The previous prime is 1272285463. The next prime is 1272285541. The reversal of 1272285504 is 4055822721.

It is a happy number.

1272285504 is a `hidden beast` number, since 1 + 2 + 72 + 2 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153742 + ... + 161805.

Almost surely, 2^1272285504 is an apocalyptic number.

1272285504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1272285504 is an abundant number, since it is smaller than the sum of its proper divisors (2895472480).

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

1272285504 is a wasteful number, since it uses less digits than its factorization.

1272285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315572 (or 315559 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1272285504 is about 35669.1113430094. Note that the first 3 decimals coincide. The cubic root of 1272285504 is about 1083.5813618343.

The spelling of 1272285504 in words is "one billion, two hundred seventy-two million, two hundred eighty-five thousand, five hundred four".