1272755120 has 80 divisors (see below), whose sum is σ = 3642058560. Its totient is φ = 402803712.

The previous prime is 1272755089. The next prime is 1272755131. The reversal of 1272755120 is 215572721.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80135 + ... + 94694.

It is an arithmetic number, because the mean of its divisors is an integer number (45525732).

Almost surely, 2^1272755120 is an apocalyptic number.

1272755120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272755120 is an abundant number, since it is smaller than the sum of its proper divisors (2369303440).

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

1272755120 is a wasteful number, since it uses less digits than its factorization.

1272755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174862 (or 174856 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 1272755120 is about 35675.6936863181. The cubic root of 1272755120 is about 1083.7146664388.

The spelling of 1272755120 in words is "one billion, two hundred seventy-two million, seven hundred fifty-five thousand, one hundred twenty".