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12001113121122 = 23279122315114567
BaseRepresentation
bin1010111010100011101000…
…0101011010000101100010
31120111021222012121111220200
42232220322011122011202
53033111234424333442
641305122452050030
72346023525254416
oct256507205320542
946437865544820
1012001113121122
113907709541214
121419a90603916
136909141b5938
142d6bdd774d46
1515c29a9e934c
hexaea3a15a162

12001113121122 has 96 divisors (see below), whose sum is σ = 26376301486080. Its totient is φ = 3943028475360.

The previous prime is 12001113121031. The next prime is 12001113121141. The reversal of 12001113121122 is 22112131110021.

It is a happy number.

12001113121122 is a `hidden beast` number, since 120 + 0 + 111 + 312 + 1 + 122 = 666.

It is a super-2 number, since 2×120011131211222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001113121095 and 12001113121104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2627786883 + ... + 2627791449.

It is an arithmetic number, because the mean of its divisors is an integer number (274753140480).

Almost surely, 212001113121122 is an apocalyptic number.

12001113121122 is an abundant number, since it is smaller than the sum of its proper divisors (14375188364958).

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

12001113121122 is a wasteful number, since it uses less digits than its factorization.

12001113121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12001113121122 its reverse (22112131110021), we get a palindrome (34113244231143).

The spelling of 12001113121122 in words is "twelve trillion, one billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1223 1422 1511 2446 3022 3669 4533 4567 7338 9066 9134 11007 13599 13701 22014 27198 27402 41103 82206 96617 119369 193234 238738 289851 358107 360793 579702 716214 721586 869553 1074321 1082379 1739106 1847953 2148642 2164758 3247137 3695906 5543859 5585441 6494274 6900737 11087718 11170882 13801474 16631577 16756323 20702211 33263154 33512646 41404422 50268969 62106633 100537938 124213266 145988287 291976574 437964861 441249839 545158223 875929722 882499678 1090316446 1313894583 1323749517 1635474669 2627789166 2647499034 3270949338 3971248551 4906424007 7942497102 8439601351 9812848014 16879202702 25318804053 50637608106 75956412159 151912824318 666728506729 1333457013458 2000185520187 4000371040374 6000556560561 12001113121122