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12122112000012 = 2237473070443769
BaseRepresentation
bin1011000001100110011000…
…1011100000000000001100
31120220212021211100102122120
42300121212023200000030
53042102041133000022
641440453230012540
72360536143621240
oct260314613400014
946825254312576
1012122112000012
113953a60223883
12143941a947150
1369c158306ab1
142dc9db616420
151604cd50dd5c
hexb06662e000c

12122112000012 has 48 divisors (see below), whose sum is σ = 33013411415040. Its totient is φ = 3389769919872.

The previous prime is 12122111999999. The next prime is 12122112000029. The reversal of 12122112000012 is 21000021122121.

It is a junction number, because it is equal to n+sod(n) for n = 12122111999955 and 12122112000000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535217937 + ... + 1535225832.

It is an arithmetic number, because the mean of its divisors is an integer number (687779404480).

Almost surely, 212122112000012 is an apocalyptic number.

12122112000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122112000012 is an abundant number, since it is smaller than the sum of its proper divisors (20891299415028).

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

12122112000012 is a wasteful number, since it uses less digits than its factorization.

12122112000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070443830 (or 3070443828 counting only the distinct ones).

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

Adding to 12122112000012 its reverse (21000021122121), we get a palindrome (33122133122133).

The spelling of 12122112000012 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 3070443769 6140887538 9211331307 12281775076 18422662614 21493106383 36845325228 42986212766 64479319149 85972425532 128958638298 144310857143 257917276596 288621714286 432932571429 577243428572 865865142858 1010176000001 1731730285716 2020352000002 3030528000003 4040704000004 6061056000006 12122112000012