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12211303312120 = 23511163170263571
BaseRepresentation
bin1011000110110010101001…
…1001010110101011111000
31121020101111201112112112111
42301230222121112223320
53100032222121441440
641545443441222104
72400144323355163
oct261545231265370
947211451475474
1012211303312120
11398886a40a770
121452770931934
136a76a0723913
1430305cd66ada
1516299d8994ea
hexb1b2a656af8

12211303312120 has 64 divisors (see below), whose sum is σ = 30157083872640. Its totient is φ = 4413231734400.

The previous prime is 12211303312111. The next prime is 12211303312133. The reversal of 12211303312120 is 2121330311221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12211303312091 and 12211303312100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85060066 + ... + 85203505.

It is an arithmetic number, because the mean of its divisors is an integer number (471204435510).

Almost surely, 212211303312120 is an apocalyptic number.

12211303312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211303312120 is an abundant number, since it is smaller than the sum of its proper divisors (17945780560520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211303312120 is a wasteful number, since it uses less digits than its factorization.

12211303312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170263756 (or 170263752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12211303312120 its reverse (2121330311221), we get a palindrome (14332633623341).

The spelling of 12211303312120 in words is "twelve trillion, two hundred eleven billion, three hundred three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 71720 170263571 340527142 681054284 851317855 1362108568 1702635710 1872899281 3405271420 3745798562 6810542840 7491597124 9364496405 14983194248 18728992810 27752962073 37457985620 55505924146 74915971240 111011848292 138764810365 222023696584 277529620730 305282582803 555059241460 610565165606 1110118482920 1221130331212 1526412914015 2442260662424 3052825828030 6105651656060 12211303312120