1228256548128 has 336 divisors, whose sum is σ = 3901811502456. Its totient is φ = 379010949120.

The previous prime is 1228256548093. The next prime is 1228256548201. The reversal of 1228256548128 is 8218456528221.

1228256548128 is a `hidden beast` number, since 1 + 2 + 2 + 82 + 5 + 6 + 548 + 12 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1033044566544 + 195211981584 = 1016388^2 + 441828^2 .

It is a super-2 number, since 2×1228256548128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24165750 + ... + 24216522.

Almost surely, 2^{1228256548128} is an apocalyptic number.

1228256548128 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 1228256548128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950905751228).

1228256548128 is an abundant number, since it is smaller than the sum of its proper divisors (2673554954328).

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

1228256548128 is an equidigital number, since it uses as much as digits as its factorization.

1228256548128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50879 (or 50856 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The spelling of 1228256548128 in words is "one trillion, two hundred twenty-eight billion, two hundred fifty-six million, five hundred forty-eight thousand, one hundred twenty-eight".