109309334112000 has 5760 divisors, whose sum is σ = 504918950215680. Its totient is φ = 23156305920000.

The previous prime is 109309334111963. The next prime is 109309334112001. The reversal of 109309334112000 is 211433903901.

109309334112000 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 9 + 33 + 411 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109309334112001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 386252063859 + ... + 386252064141.

It is an arithmetic number, because the mean of its divisors is an integer number (87659539968).

Almost surely, 2^{109309334112000} is an apocalyptic number.

109309334112000 is a gapful number since it is divisible by the number (10) 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 109309334112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252459475107840).

109309334112000 is an abundant number, since it is smaller than the sum of its proper divisors (395609616103680).

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

109309334112000 is a wasteful number, since it uses less digits than its factorization.

109309334112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 109309334112000 in words is "one hundred nine trillion, three hundred nine billion, three hundred thirty-four million, one hundred twelve thousand".