117561120 has 96 divisors (see below), whose sum is σ = 392128128. Its totient is φ = 29503488.

The previous prime is 117561109. The next prime is 117561131. The reversal of 117561120 is 21165711.

It is an interprime number because it is at equal distance from previous prime (117561109) and next prime (117561131).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (4084668).

Almost surely, 2^117561120 is an apocalyptic number.

117561120 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 117561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196064064).

117561120 is an abundant number, since it is smaller than the sum of its proper divisors (274567008).

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

117561120 is a wasteful number, since it uses less digits than its factorization.

117561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14442 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 117561120 is about 10842.5605831833. The cubic root of 117561120 is about 489.8779648893.

The spelling of 117561120 in words is "one hundred seventeen million, five hundred sixty-one thousand, one hundred twenty".