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12022002120 = 23353110730203
BaseRepresentation
bin10110011001001000…
…10011000111001000
31011000211111222120210
423030210103013020
5144110113031440
65304533121120
7603626221602
oct131444230710
934024458523
1012022002120
11510a11a147
1223b61891a0
13119789932b
14820908172
154a5669a80
hex2cc9131c8

12022002120 has 128 divisors (see below), whose sum is σ = 37578608640. Its totient is φ = 3073355520.

The previous prime is 12022002103. The next prime is 12022002163. The reversal of 12022002120 is 2120022021.

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 = 12022002096 and 12022002105.

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, 382939 + ... + 413141.

It is an arithmetic number, because the mean of its divisors is an integer number (293582880).

Almost surely, 212022002120 is an apocalyptic number.

12022002120 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 12022002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789304320).

12022002120 is an abundant number, since it is smaller than the sum of its proper divisors (25556606520).

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

12022002120 is a wasteful number, since it uses less digits than its factorization.

12022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30355 (or 30351 counting only the distinct ones).

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

Adding to 12022002120 its reverse (2120022021), we get a palindrome (14142024141).

The spelling of 12022002120 in words is "twelve billion, twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 107 120 124 155 186 214 248 310 321 372 428 465 535 620 642 744 856 930 1070 1240 1284 1605 1860 2140 2568 3210 3317 3720 4280 6420 6634 9951 12840 13268 16585 19902 26536 30203 33170 39804 49755 60406 66340 79608 90609 99510 120812 132680 151015 181218 199020 241624 302030 362436 398040 453045 604060 724872 906090 936293 1208120 1812180 1872586 2808879 3231721 3624360 3745172 4681465 5617758 6463442 7490344 9362930 9695163 11235516 12926884 14044395 16158605 18725860 19390326 22471032 25853768 28088790 32317210 37451720 38780652 48475815 56177580 64634420 77561304 96951630 100183351 112355160 129268840 193903260 200366702 300550053 387806520 400733404 500916755 601100106 801466808 1001833510 1202200212 1502750265 2003667020 2404400424 3005500530 4007334040 6011001060 12022002120