128968142112 has 96 divisors (see below), whose sum is σ = 380918764800. Its totient is φ = 42445188864.

The previous prime is 128968142111. The next prime is 128968142123. The reversal of 128968142112 is 211241869821.

128968142112 is a `hidden beast` number, since 128 + 96 + 8 + 1 + 421 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128968142111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876483 + ... + 1012994.

It is an arithmetic number, because the mean of its divisors is an integer number (3967903800).

Almost surely, 2^128968142112 is an apocalyptic number.

128968142112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128968142112 is an abundant number, since it is smaller than the sum of its proper divisors (251950622688).

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

128968142112 is a wasteful number, since it uses less digits than its factorization.

128968142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889575 (or 1889561 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 128968142112 in words is "one hundred twenty-eight billion, nine hundred sixty-eight million, one hundred forty-two thousand, one hundred twelve".