Search a number
-
+
12201020212219 = 1710136371953811
BaseRepresentation
bin1011000110001100010101…
…1110011100001111111011
31121012101222002001221100121
42301203011132130033323
53044400142133242334
641541023222514111
72366331440432116
oct261430536341773
947171862057317
1012201020212219
1139844729145a3
121450780b95937
136a67221a4b17
1430276538d57d
1516259ac19db4
hexb18c579c3fb

12201020212219 has 16 divisors (see below), whose sum is σ = 13050229350816. Its totient is φ = 11366485056000.

The previous prime is 12201020212189. The next prime is 12201020212223. The reversal of 12201020212219 is 91221202010221.

It is a happy number.

It is not a de Polignac number, because 12201020212219 - 27 = 12201020212091 is a prime.

It is a super-2 number, since 2×122010202122192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201020212193 and 12201020212202.

It is not an unprimeable number, because it can be changed into a prime (12201020212519) 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, 5267824 + ... + 7221634.

It is an arithmetic number, because the mean of its divisors is an integer number (815639334426).

Almost surely, 212201020212219 is an apocalyptic number.

12201020212219 is a deficient number, since it is larger than the sum of its proper divisors (849209138597).

12201020212219 is a wasteful number, since it uses less digits than its factorization.

12201020212219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957566.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 12201020212219 in words is "twelve trillion, two hundred one billion, twenty million, two hundred twelve thousand, two hundred nineteen".

Divisors: 1 17 101 1717 3637 61829 367337 1953811 6244729 33214787 197334911 3354693487 7106010607 120802180319 717707071307 12201020212219