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12020100012102 = 23713131604727791
BaseRepresentation
bin1010111011101010010111…
…0010101001100001000110
31120120002222102210111212010
42232322211302221201012
53033414131100341402
641321542511035050
72350265166211620
oct256724562514106
946502872714763
1012020100012102
113914772103456
1214216ab20ba86
1369264ba13680
142d7ac1299c10
1515ca0c844a6c
hexaeea5ca9846

12020100012102 has 128 divisors (see below), whose sum is σ = 29819803926528. Its totient is φ = 3145303324800.

The previous prime is 12020100012083. The next prime is 12020100012113. The reversal of 12020100012102 is 20121000102021.

12020100012102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432503827 + ... + 432531617.

It is an arithmetic number, because the mean of its divisors is an integer number (232967218176).

Almost surely, 212020100012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020100012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909901963264).

12020100012102 is an abundant number, since it is smaller than the sum of its proper divisors (17799703914426).

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

12020100012102 is a wasteful number, since it uses less digits than its factorization.

12020100012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020100012102 its reverse (20121000102021), we get a palindrome (32141100114123).

The spelling of 12020100012102 in words is "twelve trillion, twenty billion, one hundred million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 182 262 273 393 546 786 917 1703 1834 2751 3406 5109 5502 6047 10218 11921 12094 18141 23842 27791 35763 36282 42329 55582 71526 78611 83373 84658 126987 157222 166746 194537 235833 253974 361283 389074 471666 550277 583611 722566 792157 1083849 1100554 1167222 1584314 1650831 2167698 2376471 2528981 3301662 3640621 4752942 5057962 5545099 7281242 7586943 10298041 10921863 11090198 15173886 16635297 20596082 21843726 25484347 30894123 33270594 47328073 50968694 61788246 72086287 76453041 94656146 141984219 144172574 152906082 168052177 216258861 283968438 331296511 336104354 432517722 504156531 662593022 993889533 1008313062 1176365239 1987779066 2184678301 2352730478 3529095717 4369356602 6554034903 7058191434 13108069806 15292748107 22014835187 30585496214 44029670374 45878244321 66044505561 91756488642 132089011122 154103846309 286192857431 308207692618 462311538927 572385714862 858578572293 924623077854 1717157144586 2003350002017 4006700004034 6010050006051 12020100012102