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12213332120 = 235112310311717
BaseRepresentation
bin10110101111111100…
…01010100010011000
31011112011112120000002
423113332022202120
5200003103111440
65335530032132
7611441416163
oct132776124230
934464476002
1012213332120
1151a8120210
12244a278648
1311c8409252
1483c0b0ada
154b7360115
hex2d7f8a898

12213332120 has 128 divisors (see below), whose sum is σ = 31587978240. Its totient is φ = 4206512640.

The previous prime is 12213332119. The next prime is 12213332141. The reversal of 12213332120 is 2123331221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12213332092 and 12213332101.

It is a congruent 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, 1036502 + ... + 1048218.

It is an arithmetic number, because the mean of its divisors is an integer number (246781080).

Almost surely, 212213332120 is an apocalyptic number.

12213332120 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 12213332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

12213332120 is an abundant number, since it is smaller than the sum of its proper divisors (19374646120).

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

12213332120 is a wasteful number, since it uses less digits than its factorization.

12213332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11865 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12213332120 its reverse (2123331221), we get a palindrome (14336663341).

The spelling of 12213332120 in words is "twelve billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 103 110 115 184 206 220 230 253 412 440 460 506 515 824 920 1012 1030 1133 1265 2024 2060 2266 2369 2530 4120 4532 4738 5060 5665 9064 9476 10120 11330 11717 11845 18952 22660 23434 23690 26059 45320 46868 47380 52118 58585 93736 94760 104236 117170 128887 130295 208472 234340 257774 260590 269491 468680 515548 521180 538982 644435 1031096 1042360 1077964 1206851 1288870 1347455 2155928 2413702 2577740 2694910 2964401 4827404 5155480 5389820 5928802 6034255 9654808 10779640 11857604 12068510 13275361 14822005 23715208 24137020 26550722 27757573 29644010 48274040 53101444 55515146 59288020 66376805 106202888 111030292 118576040 132753610 138787865 222060584 265507220 277575730 305333303 531014440 555151460 610666606 1110302920 1221333212 1526666515 2442666424 3053333030 6106666060 12213332120