Search a number
-
+
12122221020021 = 3272350231665523
BaseRepresentation
bin1011000001100110110010…
…1011011000001101110101
31120220212120102111012222200
42300121230223120031311
53042102302040120041
641440512122415113
72360541636361650
oct260315453301565
946825512435880
1012122221020021
113954006816162
12143944b361499
1369c174a88088
142dca0bcb4897
151604d7d961b6
hexb066cad8375

12122221020021 has 48 divisors (see below), whose sum is σ = 20885511069696. Its totient is φ = 6624487175328.

The previous prime is 12122221019999. The next prime is 12122221020023. The reversal of 12122221020021 is 12002012222121.

It is a happy number.

12122221020021 is a `hidden beast` number, since 1 + 212 + 22 + 210 + 200 + 21 = 666.

12122221020021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122221020021 - 27 = 12122221019893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122221019976 and 12122221020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221020023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6445566 + ... + 8111088.

It is an arithmetic number, because the mean of its divisors is an integer number (435114813952).

Almost surely, 212122221020021 is an apocalyptic number.

It is an amenable number.

12122221020021 is a deficient number, since it is larger than the sum of its proper divisors (8763290049675).

12122221020021 is a wasteful number, since it uses less digits than its factorization.

12122221020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670582 (or 1670579 counting only the distinct ones).

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

Adding to 12122221020021 its reverse (12002012222121), we get a palindrome (24124233242142).

The spelling of 12122221020021 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 5023 15069 35161 45207 105483 115529 316449 346587 808703 1039761 1665523 2426109 4996569 7278327 11658661 14989707 34975983 38307029 104927949 114921087 268149203 344763261 804447609 2413342827 8365922029 25097766087 58561454203 75293298261 175684362609 192416206667 527053087827 577248620001 1346913446669 1731745860003 4040740340007 12122221020021