109255688099712 has 3072 divisors, whose sum is σ = 441765838725120. Its totient is φ = 26230675046400.

The previous prime is 109255688099707. The next prime is 109255688099731. The reversal of 109255688099712 is 217990886552901.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 330077607387 + ... + 330077607717.

It is an arithmetic number, because the mean of its divisors is an integer number (143803983960).

Almost surely, 2^{109255688099712} is an apocalyptic number.

109255688099712 is a gapful number since it is divisible by the number (12) 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 109255688099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220882919362560).

109255688099712 is an abundant number, since it is smaller than the sum of its proper divisors (332510150625408).

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

109255688099712 is an equidigital number, since it uses as much as digits as its factorization.

109255688099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 109255688099712 in words is "one hundred nine trillion, two hundred fifty-five billion, six hundred eighty-eight million, ninety-nine thousand, seven hundred twelve".