118123680 has 96 divisors (see below), whose sum is σ = 377745984. Its totient is φ = 31021056.

The previous prime is 118123657. The next prime is 118123693. The reversal of 118123680 is 86321811.

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

It is a super-3 number, since 3×118123680³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30324 + ... + 33996.

It is an arithmetic number, because the mean of its divisors is an integer number (3934854).

Almost surely, 2^118123680 is an apocalyptic number.

118123680 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 118123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188872992).

118123680 is an abundant number, since it is smaller than the sum of its proper divisors (259622304).

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

118123680 is a wasteful number, since it uses less digits than its factorization.

118123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 118123680 is about 10868.4718337032. The cubic root of 118123680 is about 490.6581188781.

The spelling of 118123680 in words is "one hundred eighteen million, one hundred twenty-three thousand, six hundred eighty".