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12021103223200 = 2552291307396443
BaseRepresentation
bin1010111011101110000110…
…0101100110000110100000
31120120012120100111220202201
42232323201211212012200
53033423204411120300
641322230225222544
72350332100315411
oct256734145460640
946505510456681
1012021103223200
11391513741a835
12142192b191a54
1369277b8062c6
142d7b78601808
1515ca6a95c66a
hexaeee19661a0

12021103223200 has 144 divisors (see below), whose sum is σ = 30381771379680. Its totient is φ = 4639069137920.

The previous prime is 12021103223197. The next prime is 12021103223201. The reversal of 12021103223200 is 232230112021.

It is not an unprimeable number, because it can be changed into a prime (12021103223201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30124179 + ... + 30520621.

It is an arithmetic number, because the mean of its divisors is an integer number (210984523470).

Almost surely, 212021103223200 is an apocalyptic number.

12021103223200 is a gapful number since it is divisible by the number (10) 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 12021103223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190885689840).

12021103223200 is an abundant number, since it is smaller than the sum of its proper divisors (18360668156480).

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

12021103223200 is a wasteful number, since it uses less digits than its factorization.

12021103223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397799 (or 397786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12021103223200 its reverse (232230112021), we get a palindrome (12253333335221).

The spelling of 12021103223200 in words is "twelve trillion, twenty-one billion, one hundred three million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1307 1450 2320 2614 2900 4640 5228 5800 6535 10456 11600 13070 20912 23200 26140 32675 37903 41824 52280 65350 75806 104560 130700 151612 189515 209120 261400 303224 379030 396443 522800 606448 758060 792886 947575 1045600 1212896 1516120 1585772 1895150 1982215 3032240 3171544 3790300 3964430 6064480 6343088 7580600 7928860 9911075 11496847 12686176 15161200 15857720 19822150 22993694 30322400 31715440 39644300 45987388 57484235 63430880 79288600 91974776 114968470 158577200 183949552 229936940 287421175 317154400 367899104 459873880 518151001 574842350 919747760 1036302002 1149684700 1839495520 2072604004 2299369400 2590755005 4145208008 4598738800 5181510010 8290416016 9197477600 10363020020 12953775025 15026379029 16580832032 20726040040 25907550050 30052758058 41452080080 51815100100 60105516116 75131895145 82904160160 103630200200 120211032232 150263790290 207260400400 240422064464 300527580580 375659475725 414520800800 480844128928 601055161160 751318951450 1202110322320 1502637902900 2404220644640 3005275805800 6010551611600 12021103223200