118221873120 has 1152 divisors, whose sum is σ = 479599481088. Its totient is φ = 26276659200.

The previous prime is 118221873113. The next prime is 118221873137. The reversal of 118221873120 is 21378122811.

118221873120 is a `hidden beast` number, since 118 + 221 + 8 + 7 + 312 + 0 = 666.

It is a super-2 number, since 2×118221873120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653159430 + ... + 653159610.

It is an arithmetic number, because the mean of its divisors is an integer number (416318994).

Almost surely, 2^118221873120 is an apocalyptic number.

118221873120 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 118221873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239799740544).

118221873120 is an abundant number, since it is smaller than the sum of its proper divisors (361377607968).

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

118221873120 is a wasteful number, since it uses less digits than its factorization.

118221873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 118221873120 its reverse (21378122811), we get a palindrome (139599995931).

The spelling of 118221873120 in words is "one hundred eighteen billion, two hundred twenty-one million, eight hundred seventy-three thousand, one hundred twenty".