Search a number
-
+
12201001001111 = 1341142916019023
BaseRepresentation
bin1011000110001100010001…
…0101001010000010010111
31121012101220201220220200002
42301203010111022002113
53044400122224013421
641541021255041515
72366331115230056
oct261430425120227
947171821826602
1012201001001111
113984462a92a4a
12145077667029b
136a671b2097c0
143027629cc39d
151625991c2b0b
hexb18c454a097

12201001001111 has 16 divisors (see below), whose sum is σ = 13469436140160. Its totient is φ = 10980078439680.

The previous prime is 12201001001069. The next prime is 12201001001129. The reversal of 12201001001111 is 11110010010221.

It is a cyclic number.

It is not a de Polignac number, because 12201001001111 - 226 = 12200933892247 is a prime.

It is a super-2 number, since 2×122010010011112 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201001001092 and 12201001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201001001171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7247855 + ... + 8771168.

It is an arithmetic number, because the mean of its divisors is an integer number (841839758760).

Almost surely, 212201001001111 is an apocalyptic number.

12201001001111 is a deficient number, since it is larger than the sum of its proper divisors (1268435139049).

12201001001111 is a wasteful number, since it uses less digits than its factorization.

12201001001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020506.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12201001001111 its reverse (11110010010221), we get a palindrome (23311011011332).

The spelling of 12201001001111 in words is "twelve trillion, two hundred one billion, one million, one thousand, one hundred eleven".

Divisors: 1 13 41 533 1429 18577 58589 761657 16019023 208247299 656779943 8538139259 22891183867 297585390271 938538538547 12201001001111