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12022210000000 = 27571202221
BaseRepresentation
bin1010111011110010001110…
…0011100111010010000000
31120120022102111010000010001
42232330203203213102000
53033432441230000000
641322532123245344
72350401366625054
oct256744343472200
946508374100101
1012022210000000
113915655143602
121421b99979854
136928c6bba715
142d7c415c5c64
1515cad2bd146a
hexaef238e7480

12022210000000 has 128 divisors (see below), whose sum is σ = 29938068866160. Its totient is φ = 4808880000000.

The previous prime is 12022209999997. The next prime is 12022210000019. The reversal of 12022210000000 is 1222021.

It can be written as a sum of positive squares in 8 ways, for example, as 11981622256704 + 40587743296 = 3461448^2 + 201464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9398890 + ... + 10601110.

Almost surely, 212022210000000 is an apocalyptic number.

12022210000000 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 12022210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969034433080).

12022210000000 is an abundant number, since it is smaller than the sum of its proper divisors (17915858866160).

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

12022210000000 is an frugal number, since it uses more digits than its factorization.

12022210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202270 (or 1202228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12022210000000 its reverse (1222021), we get a palindrome (12022211222021).

The spelling of 12022210000000 in words is "twelve trillion, twenty-two billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1202221 1250000 2000000 2404442 2500000 4808884 5000000 6011105 9617768 10000000 12022210 19235536 24044420 30055525 38471072 48088840 60111050 76942144 96177680 120222100 150277625 153884288 192355360 240444200 300555250 384710720 480888400 601110500 751388125 769421440 961776800 1202221000 1502776250 1923553600 2404442000 3005552500 3756940625 3847107200 4808884000 6011105000 7513881250 9617768000 12022210000 15027762500 18784703125 19235536000 24044420000 30055525000 37569406250 48088840000 60111050000 75138812500 93923515625 96177680000 120222100000 150277625000 187847031250 240444200000 300555250000 375694062500 480888400000 601110500000 751388125000 1202221000000 1502776250000 2404442000000 3005552500000 6011105000000 12022210000000