Search a number
-
+
12102112210002 = 23291271129485081
BaseRepresentation
bin1011000000011011111000…
…0110010110110001010010
31120211221200000012211110020
42300012332012112301102
53041240111211210002
641423344505044310
72356230423330453
oct260067606266122
946757600184406
1012102112210002
113946527928601
121435578a86696
1369a2bb9a3919
142dba6138712a
1515ec0c7d52bc
hexb01be196c52

12102112210002 has 64 divisors (see below), whose sum is σ = 25258413772800. Its totient is φ = 3860833213440.

The previous prime is 12102112209989. The next prime is 12102112210021. The reversal of 12102112210002 is 20001221120121.

It is a super-2 number, since 2×121021122100022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24706102 + ... + 25191182.

It is an arithmetic number, because the mean of its divisors is an integer number (394662715200).

Almost surely, 212102112210002 is an apocalyptic number.

12102112210002 is an abundant number, since it is smaller than the sum of its proper divisors (13156301562798).

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

12102112210002 is a wasteful number, since it uses less digits than its factorization.

12102112210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486371.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102112210002 its reverse (20001221120121), we get a palindrome (32103333330123).

The spelling of 12102112210002 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, two".

Divisors: 1 2 3 6 29 58 87 127 174 254 381 762 1129 2258 3387 3683 6774 7366 11049 22098 32741 65482 98223 143383 196446 286766 430149 485081 860298 970162 1455243 2910486 4158107 8316214 12474321 14067349 24948642 28134698 42202047 61605287 84404094 123210574 184815861 369631722 547656449 1095312898 1642969347 1786553323 3285938694 3573106646 5359659969 10719319938 15882037021 31764074042 47646111063 69552369023 95292222126 139104738046 208657107069 417314214138 2017018701667 4034037403334 6051056105001 12102112210002