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12055211626050 = 23252171831860647
BaseRepresentation
bin1010111101101101001010…
…0110110100111001000010
31120200110121102111022100100
42233123102212310321002
53040003033134013200
641350030542503230
72352650245051215
oct257332246647102
946613542438310
1012055211626050
11392864a75871a
121428469b94b16
13695a560b61b8
142d969253b77c
1515d8b50c0d00
hexaf6d29b4e42

12055211626050 has 144 divisors (see below), whose sum is σ = 34312300693632. Its totient is φ = 3023965785600.

The previous prime is 12055211626043. The next prime is 12055211626057. The reversal of 12055211626050 is 5062611255021.

12055211626050 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 21 + 1 + 626 + 0 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12055211626043) and next prime (12055211626057).

It is a junction number, because it is equal to n+sod(n) for n = 12055211625996 and 12055211626014.

It is not an unprimeable number, because it can be changed into a prime (12055211626057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13576827 + ... + 14437473.

It is an arithmetic number, because the mean of its divisors is an integer number (238279865928).

Almost surely, 212055211626050 is an apocalyptic number.

12055211626050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12055211626050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156150346816).

12055211626050 is an abundant number, since it is smaller than the sum of its proper divisors (22257089067582).

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

12055211626050 is a wasteful number, since it uses less digits than its factorization.

12055211626050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862513 (or 862505 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12055211626050 in words is "twelve trillion, fifty-five billion, two hundred eleven million, six hundred twenty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 1831 2550 3662 3825 5493 7650 9155 10986 16479 18310 27465 31127 32958 45775 54930 62254 82395 91550 93381 137325 155635 164790 186762 274650 280143 311270 411975 466905 560286 778175 823950 860647 933810 1400715 1556350 1721294 2334525 2581941 2801430 4303235 4669050 5163882 7003575 7745823 8606470 12909705 14007150 14630999 15491646 21516175 25819410 29261998 38729115 43032350 43892997 64548525 73154995 77458230 87785994 129097050 131678991 146309990 193645575 219464985 263357982 365774975 387291150 438929970 658394955 731549950 1097324925 1316789910 1575844657 2194649850 3151689314 3291974775 4727533971 6583949550 7879223285 9455067942 14182601913 15758446570 23637669855 26789359169 28365203826 39396116425 47275339710 53578718338 70913009565 78792232850 80368077507 118188349275 133946795845 141826019130 160736155014 236376698550 241104232521 267893591690 354565047825 401840387535 482208465042 669733979225 709130095650 803680775070 1205521162605 1339467958450 2009201937675 2411042325210 4018403875350 6027605813025 12055211626050