Search a number
-
+
12212021131321 = 111609768968363
BaseRepresentation
bin1011000110110101010100…
…1011100111100000111001
31121020110100202020112100211
42301231111023213200321
53100040204402200241
641550043002431121
72400201160623424
oct261552513474071
947213322215324
1012212021131321
1139890a861a980
1214529312024a1
136a77863618cb
143030ca41c9bb
151629e18db781
hexb1b552e7839

12212021131321 has 8 divisors (see below), whose sum is σ = 13323032684064. Its totient is φ = 11101147547520.

The previous prime is 12212021131313. The next prime is 12212021131333. The reversal of 12212021131321 is 12313112021221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12212021131321 - 23 = 12212021131313 is a prime.

It is a super-2 number, since 2×122120211313212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12212021131292 and 12212021131301.

It is not an unprimeable number, because it can be changed into a prime (12212021131351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34307115 + ... + 34661248.

It is an arithmetic number, because the mean of its divisors is an integer number (1665379085508).

Almost surely, 212212021131321 is an apocalyptic number.

12212021131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212021131321 is a deficient number, since it is larger than the sum of its proper divisors (1111011552743).

12212021131321 is a wasteful number, since it uses less digits than its factorization.

12212021131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68984471.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12212021131321 its reverse (12313112021221), we get a palindrome (24525133152542).

The spelling of 12212021131321 in words is "twelve trillion, two hundred twelve billion, twenty-one million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 16097 177067 68968363 758651993 1110183739211 12212021131321