1272941568 has 220 divisors, whose sum is σ = 3863917200. Its totient is φ = 417374208.

The previous prime is 1272941563. The next prime is 1272941581. The reversal of 1272941568 is 8651492721.

1272941568 is a `hidden beast` number, since 1 + 27 + 29 + 41 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272941563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8543158 + ... + 8543306.

It is an arithmetic number, because the mean of its divisors is an integer number (17563260).

Almost surely, 2^1272941568 is an apocalyptic number.

1272941568 is a gapful number since it is divisible by the number (18) 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 1272941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931958600).

1272941568 is an abundant number, since it is smaller than the sum of its proper divisors (2590975632).

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

1272941568 is a wasteful number, since it uses less digits than its factorization.

1272941568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1272941568 is about 35678.3066862765. The cubic root of 1272941568 is about 1083.7675822389.

The spelling of 1272941568 in words is "one billion, two hundred seventy-two million, nine hundred forty-one thousand, five hundred sixty-eight".