Search a number
-
+
121120000020 = 22325672888889
BaseRepresentation
bin111000011001101010…
…0001000100000010100
3102120122001122111200200
41300303110020200110
53441023210000040
6131350341540500
711515316004405
oct1606324104024
9376561574620
10121120000020
114740409a778
121b582a14730
13b56324b486
145c0ddad9ac
15323d48c630
hex1c33508814

121120000020 has 36 divisors (see below), whose sum is σ = 367397333940. Its totient is φ = 32298666624.

The previous prime is 121119999989. The next prime is 121120000039. The reversal of 121120000020 is 20000021121.

121120000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34069038084 + 87050961936 = 184578^2 + 295044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121119999957 and 121120000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336444265 + ... + 336444624.

Almost surely, 2121120000020 is an apocalyptic number.

121120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120000020 is an abundant number, since it is smaller than the sum of its proper divisors (246277333920).

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

121120000020 is a wasteful number, since it uses less digits than its factorization.

121120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672888904 (or 672888899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121120000020 its reverse (20000021121), we get a palindrome (141120021141).

The spelling of 121120000020 in words is "one hundred twenty-one billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 672888889 1345777778 2018666667 2691555556 3364444445 4037333334 6056000001 6728888890 8074666668 10093333335 12112000002 13457777780 20186666670 24224000004 30280000005 40373333340 60560000010 121120000020