1272580000 has 60 divisors (see below), whose sum is σ = 3130786890. Its totient is φ = 509024000.

The previous prime is 1272579983. The next prime is 1272580003. The reversal of 1272580000 is 852721.

It can be written as a sum of positive squares in 5 ways, for example, as 3225616 + 1269354384 = 1796^2 + 35628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1272580003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11815 + ... + 51814.

Almost surely, 2^1272580000 is an apocalyptic number.

1272580000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272580000 is an abundant number, since it is smaller than the sum of its proper divisors (1858206890).

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

1272580000 is an frugal number, since it uses more digits than its factorization.

1272580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63659 (or 63636 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1272580000 is about 35673.2392697944. The cubic root of 1272580000 is about 1083.6649609314.

The spelling of 1272580000 in words is "one billion, two hundred seventy-two million, five hundred eighty thousand".