117441077120 has 128 divisors (see below), whose sum is σ = 289979015040. Its totient is φ = 45453993984.

The previous prime is 117441077113. The next prime is 117441077153. The reversal of 117441077120 is 21770144711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924699 + ... + 2964581.

It is an arithmetic number, because the mean of its divisors is an integer number (2265461055).

Almost surely, 2^117441077120 is an apocalyptic number.

117441077120 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 117441077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144989507520).

117441077120 is an abundant number, since it is smaller than the sum of its proper divisors (172537937920).

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

117441077120 is a wasteful number, since it uses less digits than its factorization.

117441077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40052 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 35.

The spelling of 117441077120 in words is "one hundred seventeen billion, four hundred forty-one million, seventy-seven thousand, one hundred twenty".