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12122200002120 = 23351317457096531
BaseRepresentation
bin1011000001100110101101…
…1011001100111001001000
31120220212111221221101211220
42300121223123030321020
53042102231200031440
641440510052122040
72360541262623165
oct260315333147110
946825457841756
1012122200002120
113953aa597009a
121439444306320
1369c170609550
142dca091a306c
151604d60e38d0
hexb066b6cce48

12122200002120 has 128 divisors (see below), whose sum is σ = 41467797383040. Its totient is φ = 2808401080320.

The previous prime is 12122200002119. The next prime is 12122200002127. The reversal of 12122200002120 is 2120000222121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122200002120.

It is not an unprimeable number, because it can be changed into a prime (12122200002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228521746 + ... + 228574785.

It is an arithmetic number, because the mean of its divisors is an integer number (323967167055).

Almost surely, 212122200002120 is an apocalyptic number.

12122200002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122200002120 is an abundant number, since it is smaller than the sum of its proper divisors (29345597380920).

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

12122200002120 is a wasteful number, since it uses less digits than its factorization.

12122200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457096575 (or 457096571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122200002120 its reverse (2120000222121), we get a palindrome (14242200224241).

The spelling of 12122200002120 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 457096531 914193062 1371289593 1828386124 2285482655 2742579186 3656772248 4570965310 5485158372 5942254903 6856447965 7770641027 9141930620 10970316744 11884509806 13712895930 15541282054 17826764709 18283861240 23311923081 23769019612 27425791860 29711274515 31082564108 35653529418 38853205135 46623846162 47538039224 54851583720 59422549030 62165128216 71307058836 77706410270 89133823545 93247692324 101018333351 116559615405 118845098060 142614117672 155412820540 178267647090 186495384648 202036666702 233119230810 237690196120 303055000053 310825641080 356535294180 404073333404 466238461620 505091666755 606110000106 713070588360 808146666808 932476923240 1010183333510 1212220000212 1515275000265 2020366667020 2424440000424 3030550000530 4040733334040 6061100001060 12122200002120