Search a number
-
+
120000020121 = 32173125300447
BaseRepresentation
bin110111111000010001…
…1101111111010011001
3102110202000012122002200
41233300203233322121
53431230001120441
6131043252520413
711445466225032
oct1576043577231
9373660178080
10120000020121
1146989979253
121b30b920109
13b4151c3587
145b4534da89
1531c4eab7b6
hex1bf08efe99

120000020121 has 24 divisors (see below), whose sum is σ = 189449754624. Its totient is φ = 72865284480.

The previous prime is 120000020093. The next prime is 120000020123. The reversal of 120000020121 is 121020000021.

It is not a de Polignac number, because 120000020121 - 217 = 119999889049 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (120000020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12645481 + ... + 12654966.

It is an arithmetic number, because the mean of its divisors is an integer number (7893739776).

Almost surely, 2120000020121 is an apocalyptic number.

It is an amenable number.

120000020121 is a deficient number, since it is larger than the sum of its proper divisors (69449734503).

120000020121 is a wasteful number, since it uses less digits than its factorization.

120000020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300501 (or 25300498 counting only the distinct ones).

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

Adding to 120000020121 its reverse (121020000021), we get a palindrome (241020020142).

The spelling of 120000020121 in words is "one hundred twenty billion, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 25300447 75901341 227704023 430107599 784313857 1290322797 2352941571 3870968391 7058824713 13333335569 40000006707 120000020121