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12203213133104 = 24723223199910627
BaseRepresentation
bin1011000110010100100000…
…1011110001010100110000
31121012121121220102212021122
42301211020023301110300
53044414140030224404
641542025000441412
72366436666105350
oct261451013612460
947177556385248
1012203213133104
113985398749504
121451093479268
136a69b15c8246
143028d2706b60
151626784d93be
hexb19482f1530

12203213133104 has 160 divisors (see below), whose sum is σ = 28339519488000. Its totient is φ = 4977166715136.

The previous prime is 12203213133077. The next prime is 12203213133119. The reversal of 12203213133104 is 40133131230221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148316239 + ... + 1148326865.

It is an arithmetic number, because the mean of its divisors is an integer number (177121996800).

Almost surely, 212203213133104 is an apocalyptic number.

12203213133104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203213133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169759744000).

12203213133104 is an abundant number, since it is smaller than the sum of its proper divisors (16136306354896).

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

12203213133104 is a wasteful number, since it uses less digits than its factorization.

12203213133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12887 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12203213133104 its reverse (40133131230221), we get a palindrome (52336344363325).

The spelling of 12203213133104 in words is "twelve trillion, two hundred three billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 223 322 368 446 644 892 1288 1561 1784 1999 2576 3122 3568 3998 5129 6244 7996 10258 10627 12488 13993 15992 20516 21254 24976 27986 31984 35903 41032 42508 45977 55972 71806 74389 82064 85016 91954 111944 143612 148778 170032 183908 223888 244421 287224 297556 321839 367816 445777 488842 574448 595112 643678 735632 891554 977684 1190224 1287356 1710947 1783108 1955368 2369821 2574712 3120439 3421894 3566216 3910736 4739642 5149424 6240878 6843788 7132432 9479284 10252871 12481756 13687576 16588747 18958568 20505742 21243373 24963512 27375152 33177494 37917136 41011484 42486746 49927024 54505883 66354988 71770097 82022968 84973492 109011766 132709976 143540194 148703611 164045936 169946984 218023532 265419952 287080388 297407222 339893968 381541181 436047064 488597579 574160776 594814444 763082362 872094128 977195158 1148321552 1189628888 1526164724 1954390316 2379257776 3052329448 3420183053 3908780632 4737272179 6104658896 6840366106 7817561264 9474544358 13680732212 18949088716 27361464424 33160905253 37898177432 54722928848 66321810506 75796354864 108957260117 132643621012 217914520234 265287242024 435829040468 530574484048 762700820819 871658080936 1525401641638 1743316161872 3050803283276 6101606566552 12203213133104