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12022100000 = 2555235227
BaseRepresentation
bin10110011001001001…
…01011000000100000
31011000211200221211222
423030210223000200
5144110124200000
65304535154212
7603630110141
oct131444530040
934024627758
1012022100000
11510a186739
1223b6215968
131197901a51
14820931ac8
154a5688a85
hex2cc92b020

12022100000 has 144 divisors (see below), whose sum is σ = 30875898816. Its totient is φ = 4598880000.

The previous prime is 12022099979. The next prime is 12022100009. The reversal of 12022100000 is 122021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12022100009) 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, 2297387 + ... + 2302613.

It is an arithmetic number, because the mean of its divisors is an integer number (214415964).

Almost surely, 212022100000 is an apocalyptic number.

12022100000 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 12022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437949408).

12022100000 is an abundant number, since it is smaller than the sum of its proper divisors (18853798816).

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

12022100000 is an frugal number, since it uses more digits than its factorization.

12022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12022100000 its reverse (122021), we get a palindrome (12022222021).

The spelling of 12022100000 in words is "twelve billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 5000 5227 5750 6250 9200 10000 10454 11500 12500 14375 18400 20000 20908 23000 25000 26135 28750 41816 46000 50000 52270 57500 71875 83632 92000 100000 104540 115000 120221 130675 143750 167264 209080 230000 240442 261350 287500 418160 460000 480884 522700 575000 601105 653375 836320 961768 1045400 1150000 1202210 1306750 1923536 2090800 2300000 2404420 2613500 3005525 3266875 3847072 4181600 4808840 5227000 6011050 6533750 9617680 10454000 12022100 13067500 15027625 16334375 19235360 20908000 24044200 26135000 30055250 32668750 48088400 52270000 60110500 65337500 75138125 96176800 104540000 120221000 130675000 150276250 240442000 261350000 300552500 375690625 480884000 522700000 601105000 751381250 1202210000 1502762500 2404420000 3005525000 6011050000 12022100000