1272418560 has 432 divisors, whose sum is σ = 5203860480. Its totient is φ = 280903680.

The previous prime is 1272418531. The next prime is 1272418571. The reversal of 1272418560 is 658142721.

1272418560 is a `hidden beast` number, since 12 + 72 + 4 + 18 + 560 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 2499586 + ... + 2500094.

Almost surely, 2^1272418560 is an apocalyptic number.

1272418560 is a gapful number since it is divisible by the number (10) 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 1272418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601930240).

1272418560 is an abundant number, since it is smaller than the sum of its proper divisors (3931441920).

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

1272418560 is a wasteful number, since it uses less digits than its factorization.

1272418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1272418560 is about 35670.9764374344. The cubic root of 1272418560 is about 1083.6191342723.

The spelling of 1272418560 in words is "one billion, two hundred seventy-two million, four hundred eighteen thousand, five hundred sixty".