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12122001020103 = 3132379265723743
BaseRepresentation
bin1011000001100101111110…
…0100001001010011000111
31120220212000002112001211120
42300121133210021103013
53042101324230120403
641440434223205023
72360533325405532
oct260313744112307
946825002461746
1012122001020103
113953a03612a47
1214393a9746773
1369c13b31a700
142dc9ca9a7a19
151604c38dae53
hexb065f9094c7

12122001020103 has 48 divisors (see below), whose sum is σ = 17555109304320. Its totient is φ = 7436896975872.

The previous prime is 12122001020069. The next prime is 12122001020111. The reversal of 12122001020103 is 30102010022121.

It is not a de Polignac number, because 12122001020103 - 220 = 12121999971527 is a prime.

It is a super-2 number, since 2×121220010201032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122001020183) 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, 510538650 + ... + 510562392.

It is an arithmetic number, because the mean of its divisors is an integer number (365731443840).

Almost surely, 212122001020103 is an apocalyptic number.

12122001020103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12122001020103 is a deficient number, since it is larger than the sum of its proper divisors (5433108284217).

12122001020103 is a wasteful number, since it uses less digits than its factorization.

12122001020103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26808 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12122001020103 its reverse (30102010022121), we get a palindrome (42224011042224).

The spelling of 12122001020103 in words is "twelve trillion, one hundred twenty-two billion, one million, twenty thousand, one hundred three".

Divisors: 1 3 13 39 169 379 507 1137 2657 4927 7971 14781 23743 34541 64051 71229 103623 192153 308659 449033 925977 1007003 1347099 3021009 4012567 8998597 12037701 13091039 26995791 39273117 63085151 116981761 170183507 189255453 350945283 510550521 820106963 1520762893 2460320889 4562288679 10661390519 23909272229 31984171557 71727816687 310820538977 932461616931 4040667006701 12122001020103