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12202101102212 = 22737149217936277
BaseRepresentation
bin1011000110010000010111…
…1001101101011010000100
31121012111202101221211200022
42301210011321231122010
53044404400340232322
641541322354034312
72366400304023650
oct261440571553204
947174671854608
1012202101102212
113984977a6720a
121450a22b78998
136a68650c44b8
14302828b55a60
15162610a78942
hexb1905e6d684

12202101102212 has 96 divisors (see below), whose sum is σ = 25244263968000. Its totient is φ = 5051527607808.

The previous prime is 12202101102209. The next prime is 12202101102281. The reversal of 12202101102212 is 21220110120221.

It is a super-3 number, since 3×122021011022123 (a number of 40 digits) contains 333 as substring.

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, 336341018 + ... + 336377294.

It is an arithmetic number, because the mean of its divisors is an integer number (262961083000).

Almost surely, 212202101102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202101102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622131984000).

12202101102212 is an abundant number, since it is smaller than the sum of its proper divisors (13042162865788).

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

12202101102212 is a wasteful number, since it uses less digits than its factorization.

12202101102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38653 (or 38651 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12202101102212 its reverse (21220110120221), we get a palindrome (33422211222433).

The spelling of 12202101102212 in words is "twelve trillion, two hundred two billion, one hundred one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 37 74 148 149 259 298 518 596 1036 1043 2086 2179 4172 4358 5513 8716 11026 15253 22052 30506 36277 38591 61012 72554 77182 80623 145108 154364 161246 253939 322492 324671 507878 564361 649342 1015756 1128722 1298684 1342249 2257444 2272697 2684498 4545394 5368996 5405273 9090788 9395743 10810546 12012827 18791486 21621092 24025654 37582972 37836911 48051308 75673822 79047583 84089789 151347644 158095166 168179578 199995101 316190332 336359156 399990202 553333081 799980404 1106666162 1399965707 2213332324 2799931414 2924760571 5599862828 5849521142 11699042284 11778089867 20473323997 23556179734 40946647994 47112359468 81893295988 82446629069 164893258138 329786516276 435789325079 871578650158 1743157300316 3050525275553 6101050551106 12202101102212