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12120122221000 = 2353292831476803
BaseRepresentation
bin1011000001011110111110…
…0101000110000111001000
31120220200011011020011222121
42300113233211012013020
53042034002242033000
641435523550101024
72360435633026243
oct260275745060710
946820134204877
1012120122221000
11395312a028412
121438b644aa774
1369bbcbccaa71
142dc88d25c25a
151604139b9b1a
hexb05ef9461c8

12120122221000 has 128 divisors (see below), whose sum is σ = 29442745987200. Its totient is φ = 4664331436800.

The previous prime is 12120122220991. The next prime is 12120122221037. The reversal of 12120122221000 is 12222102121.

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, 7468599 + ... + 8945401.

It is an arithmetic number, because the mean of its divisors is an integer number (230021453025).

Almost surely, 212120122221000 is an apocalyptic number.

12120122221000 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 12120122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721372993600).

12120122221000 is an abundant number, since it is smaller than the sum of its proper divisors (17322623766200).

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

12120122221000 is a wasteful number, since it uses less digits than its factorization.

12120122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477136 (or 1477122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120122221000 its reverse (12222102121), we get a palindrome (12132344323121).

The spelling of 12120122221000 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 283 290 500 566 580 725 1000 1132 1160 1415 1450 2264 2830 2900 3625 5660 5800 7075 7250 8207 11320 14150 14500 16414 28300 29000 32828 35375 41035 56600 65656 70750 82070 141500 164140 205175 283000 328280 410350 820700 1025875 1476803 1641400 2051750 2953606 4103500 5907212 7384015 8207000 11814424 14768030 29536060 36920075 42827287 59072120 73840150 85654574 147680300 171309148 184600375 214136435 295360600 342618296 369200750 417935249 428272870 738401500 835870498 856545740 1070682175 1476803000 1671740996 1713091480 2089676245 2141364350 3343481992 4179352490 4282728700 5353410875 8358704980 8565457400 10448381225 10706821750 12120122221 16717409960 20896762450 21413643500 24240244442 41793524900 42827287000 48480488884 52241906125 60600611105 83587049800 96960977768 104483812250 121201222210 208967624500 242402444420 303003055525 417935249000 484804888840 606006111050 1212012222100 1515015277625 2424024444200 3030030555250 6060061110500 12120122221000