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12001201122102 = 2343213916694663
BaseRepresentation
bin1010111010100011111101…
…0101000110101100110110
31120111022012100012102120020
42232220333111012230312
53033111424441401402
641305135314150010
72346025644253143
oct256507725065466
946438170172506
1012001201122102
1139077541876a5
121419ab5b82306
136909294b7a1a
142d6c0b3213ca
1515c2a35cd8bc
hexaea3f546b36

12001201122102 has 96 divisors (see below), whose sum is σ = 24770507731200. Its totient is φ = 3876101522496.

The previous prime is 12001201122101. The next prime is 12001201122103. The reversal of 12001201122102 is 20122110210021.

It is an interprime number because it is at equal distance from previous prime (12001201122101) and next prime (12001201122103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001201122101) 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, 2573705823 + ... + 2573710485.

It is an arithmetic number, because the mean of its divisors is an integer number (258026122200).

Almost surely, 212001201122102 is an apocalyptic number.

12001201122102 is an abundant number, since it is smaller than the sum of its proper divisors (12769306609098).

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

12001201122102 is a wasteful number, since it uses less digits than its factorization.

12001201122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6519 counting only the distinct ones).

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

Adding to 12001201122102 its reverse (20122110210021), we get a palindrome (32123311332123).

The spelling of 12001201122102 in words is "twelve trillion, one billion, two hundred one million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 43 86 129 139 258 278 417 834 1669 1849 3338 3698 4663 5007 5547 5977 9326 10014 11094 11954 13989 17931 27978 35862 71767 143534 200509 215301 231991 257011 401018 430602 463982 514022 601527 648157 695973 771033 1203054 1296314 1391946 1542066 1944471 3085981 3888942 6171962 7782547 8621887 9257943 9975613 15565094 17243774 18515886 19951226 23347641 25865661 27870751 29926839 46695282 51731322 55741502 59853678 83612253 167224506 334649521 428951359 669299042 857902718 1003948563 1081774033 1198442293 1286854077 2007897126 2163548066 2396884586 2573708154 3245322099 3595326879 6490644198 7190653758 14389929403 28779858806 43169788209 46516283419 86339576418 93032566838 139548850257 279097700514 2000200187017 4000400374034 6000600561051 12001201122102