109912840128 has 1344 divisors, whose sum is σ = 444782886912. Its totient is φ = 25108807680.

The previous prime is 109912840109. The next prime is 109912840153. The reversal of 109912840128 is 821048219901.

109912840128 is a `hidden beast` number, since 10 + 99 + 128 + 401 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 635334250 + ... + 635334422.

It is an arithmetic number, because the mean of its divisors is an integer number (330939648).

Almost surely, 2^109912840128 is an apocalyptic number.

109912840128 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 109912840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222391443456).

109912840128 is an abundant number, since it is smaller than the sum of its proper divisors (334870046784).

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

109912840128 is a wasteful number, since it uses less digits than its factorization.

109912840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 109912840128 in words is "one hundred nine billion, nine hundred twelve million, eight hundred forty thousand, one hundred twenty-eight".