118271122220160 has 4224 divisors, whose sum is σ = 564502903196400. Its totient is φ = 23486030217216.

The previous prime is 118271122220149. The next prime is 118271122220161. The reversal of 118271122220160 is 61022221172811.

118271122220160 is a `hidden beast` number, since 1 + 1 + 8 + 271 + 1 + 2 + 2 + 220 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34398788042304 + 83872334177856 = 5865048^2 + 9158184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (118271122220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 6957124836472 + ... + 6957124836488.

Almost surely, 2^{118271122220160} is an apocalyptic number.

118271122220160 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 118271122220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282251451598200).

118271122220160 is an abundant number, since it is smaller than the sum of its proper divisors (446231780976240).

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

118271122220160 is an frugal number, since it uses more digits than its factorization.

118271122220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 47 counting only the distinct ones).

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

Adding to 118271122220160 its reverse (61022221172811), we get a palindrome (179293343392971).

The spelling of 118271122220160 in words is "one hundred eighteen trillion, two hundred seventy-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred sixty".