1256441120 has 96 divisors (see below), whose sum is σ = 3408713280. Its totient is φ = 432829440.

The previous prime is 1256441119. The next prime is 1256441189. The reversal of 1256441120 is 211446521.

It is a self number, because there is not a number n which added to its sum of digits gives 1256441120.

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 15 ways as a sum of consecutive naturals, for example, 14654 + ... + 52226.

It is an arithmetic number, because the mean of its divisors is an integer number (35507430).

Almost surely, 2^1256441120 is an apocalyptic number.

1256441120 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 1256441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704356640).

1256441120 is an abundant number, since it is smaller than the sum of its proper divisors (2152272160).

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

1256441120 is a wasteful number, since it uses less digits than its factorization.

1256441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37618 (or 37610 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1256441120 is about 35446.3132074409. The cubic root of 1256441120 is about 1079.0644389946.

Adding to 1256441120 its reverse (211446521), we get a palindrome (1467887641).

The spelling of 1256441120 in words is "one billion, two hundred fifty-six million, four hundred forty-one thousand, one hundred twenty".