Search a number
-
+
12122221002021 = 331392119374909
BaseRepresentation
bin1011000001100110110010…
…1011010011110100100101
31120220212120102110022022000
42300121230223103310211
53042102302034031041
641440512122155513
72360541636255324
oct260315453236445
946825512408260
1012122221002021
113954006803689
12143944b352b99
1369c174a7cb20
142dca0bcac0bb
151604d7d90bb6
hexb066cad3d25

12122221002021 has 32 divisors (see below), whose sum is σ = 19340557152000. Its totient is φ = 7459727431104.

The previous prime is 12122221002007. The next prime is 12122221002029. The reversal of 12122221002021 is 12020012222121.

It is a happy number.

12122221002021 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 12122221002021 - 210 = 12122221000997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122221001985 and 12122221002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221002029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32146315 + ... + 32521223.

It is an arithmetic number, because the mean of its divisors is an integer number (604392411000).

Almost surely, 212122221002021 is an apocalyptic number.

It is an amenable number.

12122221002021 is a deficient number, since it is larger than the sum of its proper divisors (7218336149979).

12122221002021 is a wasteful number, since it uses less digits than its factorization.

12122221002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467050 (or 467044 counting only the distinct ones).

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

Adding to 12122221002021 its reverse (12020012222121), we get a palindrome (24142233224142).

The spelling of 12122221002021 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, two thousand, twenty-one".

Divisors: 1 3 9 13 27 39 117 351 92119 276357 374909 829071 1124727 1197547 2487213 3374181 3592641 4873817 10122543 10777923 14621451 32333769 43864353 131593059 34536242171 103608726513 310826179539 448971148223 932478538617 1346913444669 4040740334007 12122221002021