1270512720 has 120 divisors (see below), whose sum is σ = 4306216200. Its totient is φ = 335674368.

The previous prime is 1270512689. The next prime is 1270512721. The reversal of 1270512720 is 272150721.

1270512720 is a `hidden beast` number, since 12 + 70 + 512 + 72 + 0 = 666.

1270512720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 203575824 + 1066936896 = 14268^2 + 32664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1270512720² = 3228405143363596800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270512721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70386 + ... + 86574.

It is an arithmetic number, because the mean of its divisors is an integer number (35885135).

Almost surely, 2^1270512720 is an apocalyptic number.

1270512720 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 1270512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153108100).

1270512720 is an abundant number, since it is smaller than the sum of its proper divisors (3035703480).

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

1270512720 is a wasteful number, since it uses less digits than its factorization.

1270512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16317 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1270512720 is about 35644.2522715795. The cubic root of 1270512720 is about 1083.0778457611.

It can be divided in two parts, 12705 and 12720, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 1270512720 in words is "one billion, two hundred seventy million, five hundred twelve thousand, seven hundred twenty".