1259848128 has 336 divisors, whose sum is σ = 4289503232. Its totient is φ = 319334400.

The previous prime is 1259848103. The next prime is 1259848159. The reversal of 1259848128 is 8218489521.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 9920001 + ... + 9920127.

Almost surely, 2^1259848128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1259848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144751616).

1259848128 is an abundant number, since it is smaller than the sum of its proper divisors (3029655104).

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

1259848128 is a wasteful number, since it uses less digits than its factorization.

1259848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 1259848128 is about 35494.3393796814. The cubic root of 1259848128 is about 1080.0389012051.

It can be divided in two parts, 12598 and 48128, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 1259848128 in words is "one billion, two hundred fifty-nine million, eight hundred forty-eight thousand, one hundred twenty-eight".