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12002022120 = 23351134726203
BaseRepresentation
bin10110010110110000…
…00101001011101000
31010222102220220011210
423023120011023220
5144040004201440
65302540553120
7603264335064
oct131330051350
933872826153
1012002022120
1150a9912950
1223ab5527a0
1311936c204a
1481bdc6aa4
154a3a1ea80
hex2cb6052e8

12002022120 has 128 divisors (see below), whose sum is σ = 39394045440. Its totient is φ = 2901085440.

The previous prime is 12002022101. The next prime is 12002022143. The reversal of 12002022120 is 2122020021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12002022096 and 12002022105.

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, 444939 + ... + 471141.

It is an arithmetic number, because the mean of its divisors is an integer number (307765980).

Almost surely, 212002022120 is an apocalyptic number.

12002022120 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 12002022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697022720).

12002022120 is an abundant number, since it is smaller than the sum of its proper divisors (27392023320).

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

12002022120 is a wasteful number, since it uses less digits than its factorization.

12002022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26575 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002022120 its reverse (2122020021), we get a palindrome (14124042141).

The spelling of 12002022120 in words is "twelve billion, two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 347 440 660 694 1041 1320 1388 1735 2082 2776 3470 3817 4164 5205 6940 7634 8328 10410 11451 13880 15268 19085 20820 22902 26203 30536 38170 41640 45804 52406 57255 76340 78609 91608 104812 114510 131015 152680 157218 209624 229020 262030 288233 314436 393045 458040 524060 576466 628872 786090 864699 1048120 1152932 1441165 1572180 1729398 2305864 2882330 3144360 3458796 4323495 5764660 6917592 8646990 9092441 11529320 17293980 18184882 27277323 34587960 36369764 45462205 54554646 72739528 90924410 100016851 109109292 136386615 181848820 200033702 218218584 272773230 300050553 363697640 400067404 500084255 545546460 600101106 800134808 1000168510 1091092920 1200202212 1500252765 2000337020 2400404424 3000505530 4000674040 6001011060 12002022120