118202271352920 has 1024 divisors, whose sum is σ = 424765555200000. Its totient is φ = 29181032939520.

The previous prime is 118202271352877. The next prime is 118202271352943. The reversal of 118202271352920 is 29253172202811.

118202271352920 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 0 + 2 + 271 + 352 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Sastry number since concatenated with its successor gives a square.

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 255 ways as a sum of consecutive naturals, for example, 21209807254 + ... + 21209812826.

It is an arithmetic number, because the mean of its divisors is an integer number (414810112500).

Almost surely, 2^{118202271352920} is an apocalyptic number.

118202271352920 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 118202271352920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212382777600000).

118202271352920 is an abundant number, since it is smaller than the sum of its proper divisors (306563283847080).

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

118202271352920 is a wasteful number, since it uses less digits than its factorization.

118202271352920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 118202271352920 in words is "one hundred eighteen trillion, two hundred two billion, two hundred seventy-one million, three hundred fifty-two thousand, nine hundred twenty".