Search a number
-
+
12122102120121 = 327563992934421
BaseRepresentation
bin1011000001100110010110…
…0101110011111010111001
31120220212021010202110222200
42300121211211303322321
53042102031120320441
641440452234140413
72360535663632010
oct260314545637271
946825233673880
1012122102120121
113953a55695984
121439417581709
1369c156257ac6
142dc9da1a3a77
151604cc70b7b6
hexb0665973eb9

12122102120121 has 48 divisors (see below), whose sum is σ = 20049234341760. Its totient is φ = 6913714648320.

The previous prime is 12122102120119. The next prime is 12122102120123. The reversal of 12122102120121 is 12102120122121.

12122102120121 is a `hidden beast` number, since 1 + 212 + 210 + 2 + 120 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (12122102120119) and next prime (12122102120123).

It is not a de Polignac number, because 12122102120121 - 21 = 12122102120119 is a prime.

It is a super-2 number, since 2×121221021201212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122102120094 and 12122102120103.

It is not an unprimeable number, because it can be changed into a prime (12122102120123) 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, 352154491 + ... + 352188911.

It is an arithmetic number, because the mean of its divisors is an integer number (417692382120).

Almost surely, 212122102120121 is an apocalyptic number.

It is an amenable number.

12122102120121 is a deficient number, since it is larger than the sum of its proper divisors (7927132221639).

12122102120121 is a wasteful number, since it uses less digits than its factorization.

12122102120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44926 (or 44923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122102120121 its reverse (12102120122121), we get a palindrome (24224222242242).

The spelling of 12122102120121 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 563 1689 3941 5067 9929 11823 29787 34421 35469 69503 89361 103263 208509 240947 309789 625527 722841 2168523 5590027 16770081 19379023 39130189 50310243 58137069 117390567 135653161 174411207 341766109 352171701 406959483 1025298327 1220878449 2392362763 3075894981 7177088289 21531264867 192414319367 577242958101 1346900235569 1731728874303 4040700706707 12122102120121