118112256000 has 720 divisors, whose sum is σ = 445339014120. Its totient is φ = 31142707200.

The previous prime is 118112255983. The next prime is 118112256001. The reversal of 118112256000 is 652211811.

118112256000 is a `hidden beast` number, since 1 + 1 + 81 + 1 + 22 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18478596096 + 99633659904 = 135936^2 + 315648^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118112256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1327103956 + ... + 1327104044.

Almost surely, 2^118112256000 is an apocalyptic number.

118112256000 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 118112256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222669507060).

118112256000 is an abundant number, since it is smaller than the sum of its proper divisors (327226758120).

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

118112256000 is an frugal number, since it uses more digits than its factorization.

118112256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 118112256000 its reverse (652211811), we get a palindrome (118764467811).

The spelling of 118112256000 in words is "one hundred eighteen billion, one hundred twelve million, two hundred fifty-six thousand".