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120000121222221 = 3289281533141941
BaseRepresentation
bin11011010010001110110100…
…100110010011010001001101
3120201212220021202212202120100
4123102032310212103101031
5111212040222013102341
61103115143351041313
734163502604435542
oct3322166446232115
9521786252782510
10120000121222221
1135265847040269
12115609b1970239
1351c5c69590cb6
14218c0731c6bc9
15dd172a0ed3b6
hex6d23b499344d

120000121222221 has 24 divisors (see below), whose sum is σ = 175904852343480. Its totient is φ = 78819704409600.

The previous prime is 120000121222151. The next prime is 120000121222243. The reversal of 120000121222221 is 122222121000021.

It is a happy number.

120000121222221 is a `hidden beast` number, since 1 + 200 + 0 + 0 + 1 + 21 + 222 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25320410099721 + 94679711122500 = 5031939^2 + 9730350^2 .

It is not a de Polignac number, because 120000121222221 - 211 = 120000121220173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120000121222194 and 120000121222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000121222621) 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, 266345890 + ... + 266796051.

It is an arithmetic number, because the mean of its divisors is an integer number (7329368847645).

Almost surely, 2120000121222221 is an apocalyptic number.

It is an amenable number.

120000121222221 is a deficient number, since it is larger than the sum of its proper divisors (55904731121259).

120000121222221 is a wasteful number, since it uses less digits than its factorization.

120000121222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533142317 (or 533142314 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120000121222221 its reverse (122222121000021), we get a palindrome (242222242222242).

The spelling of 120000121222221 in words is "one hundred twenty trillion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 89 267 281 801 843 2529 25009 75027 225081 533141941 1599425823 4798277469 47449632749 142348898247 149812885421 427046694741 449438656263 1348315968789 13333346802469 40000040407407 120000121222221