1272512880 has 180 divisors, whose sum is σ = 4395546792. Its totient is φ = 329909760.

The previous prime is 1272512873. The next prime is 1272512929. The reversal of 1272512880 is 882152721.

1272512880 is a `hidden beast` number, since 127 + 251 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 985035 + ... + 986325.

Almost surely, 2^1272512880 is an apocalyptic number.

1272512880 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 1272512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197773396).

1272512880 is an abundant number, since it is smaller than the sum of its proper divisors (3123033912).

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

1272512880 is a wasteful number, since it uses less digits than its factorization.

1272512880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1272512880 is about 35672.2984961721. The cubic root of 1272512880 is about 1083.6459085939.

The spelling of 1272512880 in words is "one billion, two hundred seventy-two million, five hundred twelve thousand, eight hundred eighty".