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120205116132 = 22310017093011
BaseRepresentation
bin110111111110011001…
…0001000001011100100
3102111021022010120221020
41233330302020023210
53432140002204012
6131115500451140
711453536425423
oct1577462101344
9374238116836
10120205116132
1146a84721992
121b368549ab0
13b44884326a
145b6469b2ba
1531d7ec0a8c
hex1bfcc882e4

120205116132 has 12 divisors (see below), whose sum is σ = 280478604336. Its totient is φ = 40068372040.

The previous prime is 120205116049. The next prime is 120205116139. The reversal of 120205116132 is 231611502021.

It is a happy number.

120205116132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (120205116139) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5008546494 + ... + 5008546517.

It is an arithmetic number, because the mean of its divisors is an integer number (23373217028).

Almost surely, 2120205116132 is an apocalyptic number.

120205116132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120205116132 is an abundant number, since it is smaller than the sum of its proper divisors (160273488204).

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

120205116132 is a wasteful number, since it uses less digits than its factorization.

120205116132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017093018 (or 10017093016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 120205116132 its reverse (231611502021), we get a palindrome (351816618153).

The spelling of 120205116132 in words is "one hundred twenty billion, two hundred five million, one hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 10017093011 20034186022 30051279033 40068372044 60102558066 120205116132