1230968896128 has 96 divisors (see below), whose sum is σ = 3547618588800. Its totient is φ = 409700067840.

The previous prime is 1230968896123. The next prime is 1230968896159. The reversal of 1230968896128 is 8216988690321.

1230968896128 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 9 + 6 + 8 + 8 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1230968896123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51568 + ... + 1569903.

It is an arithmetic number, because the mean of its divisors is an integer number (36954360300).

Almost surely, 2^{1230968896128} is an apocalyptic number.

1230968896128 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 1230968896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773809294400).

1230968896128 is an abundant number, since it is smaller than the sum of its proper divisors (2316649692672).

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

1230968896128 is a wasteful number, since it uses less digits than its factorization.

1230968896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622150 (or 1622135 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1230968896128 in words is "one trillion, two hundred thirty billion, nine hundred sixty-eight million, eight hundred ninety-six thousand, one hundred twenty-eight".