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12105255234006 = 232113505269857
BaseRepresentation
bin1011000000100111100101…
…1100000010100111010110
31120212020210001100222211200
42300021321130002213112
53041313030314442011
641425024423013330
72356401336516654
oct260117134024726
946766701328750
1012105255234006
11394789aaa6000
1214360b559a246
1369a69cbb3a3c
142dbc7c97ddd4
1515ed436cb856
hexb02797029d6

12105255234006 has 48 divisors (see below), whose sum is σ = 28848887812368. Its totient is φ = 3668259154560.

The previous prime is 12105255233993. The next prime is 12105255234067. The reversal of 12105255234006 is 60043255250121.

12105255234006 is a `hidden beast` number, since 1 + 2 + 10 + 52 + 552 + 3 + 40 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252610971 + ... + 252658886.

It is an arithmetic number, because the mean of its divisors is an integer number (601018496091).

Almost surely, 212105255234006 is an apocalyptic number.

12105255234006 is an abundant number, since it is smaller than the sum of its proper divisors (16743632578362).

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

12105255234006 is a wasteful number, since it uses less digits than its factorization.

12105255234006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505269898 (or 505269873 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12105255234006 in words is "twelve trillion, one hundred five billion, two hundred fifty-five million, two hundred thirty-four thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 23958 505269857 1010539714 1515809571 3031619142 4547428713 5557968427 9094857426 11115936854 16673905281 33347810562 50021715843 61137652697 100043431686 122275305394 183412958091 366825916182 550238874273 672514179667 1100477748546 1345028359334 2017542539001 4035085078002 6052627617003 12105255234006