118581120 has 384 divisors, whose sum is σ = 498363840. Its totient is φ = 25362432.

The previous prime is 118581101. The next prime is 118581139. The reversal of 118581120 is 21185811.

It is an interprime number because it is at equal distance from previous prime (118581101) and next prime (118581139).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×118581120² = 28122964040908800, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 685354 + ... + 685526.

Almost surely, 2^118581120 is an apocalyptic number.

118581120 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 118581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181920).

118581120 is an abundant number, since it is smaller than the sum of its proper divisors (379782720).

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

118581120 is a wasteful number, since it uses less digits than its factorization.

118581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 118581120 is about 10889.4958560991. The cubic root of 118581120 is about 491.2906692822.

The spelling of 118581120 in words is "one hundred eighteen million, five hundred eighty-one thousand, one hundred twenty".