118249200 has 120 divisors (see below), whose sum is σ = 420918000. Its totient is φ = 31530240.

The previous prime is 118249199. The next prime is 118249247. The reversal of 118249200 is 2942811.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5326 + ... + 16274.

It is an arithmetic number, because the mean of its divisors is an integer number (3507650).

Almost surely, 2^118249200 is an apocalyptic number.

118249200 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 118249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210459000).

118249200 is an abundant number, since it is smaller than the sum of its proper divisors (302668800).

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

118249200 is a wasteful number, since it uses less digits than its factorization.

118249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 118249200 is about 10874.2448013644. The cubic root of 118249200 is about 490.8318509228.

The spelling of 118249200 in words is "one hundred eighteen million, two hundred forty-nine thousand, two hundred".