1290127872 has 160 divisors (see below), whose sum is σ = 3880198080. Its totient is φ = 377323520.

The previous prime is 1290127871. The next prime is 1290127903. The reversal of 1290127872 is 2787210921.

It is a super-2 number, since 2×1290127872² = 3328859852222496768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1290127872.

It is not an unprimeable number, because it can be changed into a prime (1290127871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488668 + ... + 491300.

It is an arithmetic number, because the mean of its divisors is an integer number (24251238).

Almost surely, 2^1290127872 is an apocalyptic number.

1290127872 is a gapful number since it is divisible by the number (12) 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 1290127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940099040).

1290127872 is an abundant number, since it is smaller than the sum of its proper divisors (2590070208).

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

1290127872 is a wasteful number, since it uses less digits than its factorization.

1290127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1290127872 is about 35918.3500734652. The cubic root of 1290127872 is about 1088.6232012120.

The spelling of 1290127872 in words is "one billion, two hundred ninety million, one hundred twenty-seven thousand, eight hundred seventy-two".