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12000001322331 = 32113712641259157
BaseRepresentation
bin1010111010011111011111…
…0100001110110101011011
31120111012002201120021200200
42232213313310032311123
53033102000314303311
641304420254233243
72345654135160501
oct256476764166533
946435081507620
1012000001322331
1139071989a8340
1214198201b5823
13690797a63729
142d6b35c44671
1515c2330d2556
hexae9f7d0ed5b

12000001322331 has 48 divisors (see below), whose sum is σ = 19421760784608. Its totient is φ = 7075580774400.

The previous prime is 12000001322279. The next prime is 12000001322341. The reversal of 12000001322331 is 13322310000021.

12000001322331 is a `hidden beast` number, since 1 + 200 + 0 + 0 + 0 + 132 + 2 + 331 = 666.

It is not a de Polignac number, because 12000001322331 - 27 = 12000001322203 is a prime.

It is a super-2 number, since 2×120000013223312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12000001322341) 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, 46174405 + ... + 46433561.

It is an arithmetic number, because the mean of its divisors is an integer number (404620016346).

Almost surely, 212000001322331 is an apocalyptic number.

12000001322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000001322331 is a deficient number, since it is larger than the sum of its proper divisors (7421759462277).

12000001322331 is a wasteful number, since it uses less digits than its factorization.

12000001322331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271852 (or 271849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12000001322331 its reverse (13322310000021), we get a palindrome (25322311322352).

The spelling of 12000001322331 in words is "twelve trillion, one million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 12641 37923 113769 139051 259157 417153 467717 777471 1251459 1403151 2332413 2850727 4209453 5144887 8552181 9588809 15434661 25656543 28766427 46303983 86299281 105476899 316430697 949292091 3276003637 9828010911 29484032733 36036040007 108108120021 121212134569 324324360063 363636403707 1090909211121 1333333480259 4000000440777 12000001322331