1262128320 has 168 divisors, whose sum is σ = 4385188080. Its totient is φ = 333158400.

The previous prime is 1262128291. The next prime is 1262128337. The reversal of 1262128320 is 238212621.

1262128320 is a `hidden beast` number, since 1 + 2 + 621 + 2 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×1262128320² = 3185935792292044800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 288711 + ... + 293049.

It is an arithmetic number, because the mean of its divisors is an integer number (26102310).

Almost surely, 2^1262128320 is an apocalyptic number.

1262128320 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 1262128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192594040).

1262128320 is an abundant number, since it is smaller than the sum of its proper divisors (3123059760).

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

1262128320 is a wasteful number, since it uses less digits than its factorization.

1262128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1262128320 is about 35526.4453611672. The cubic root of 1262128320 is about 1080.6900939321.

The spelling of 1262128320 in words is "one billion, two hundred sixty-two million, one hundred twenty-eight thousand, three hundred twenty".