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12201130102212 = 22326735171438303
BaseRepresentation
bin1011000110001100110000…
…0001101000110111000100
31121012102020201211221002100
42301203030001220313010
53044400403301232322
641541042150112100
72366334243455112
oct261431401506704
947172221757070
1012201130102212
113984519950577
1214507b194b630
136a673bb9c09c
14302775bd6ab2
151625a56c4dac
hexb18cc068dc4

12201130102212 has 72 divisors (see below), whose sum is σ = 31310992084736. Its totient is φ = 4005199306944.

The previous prime is 12201130102181. The next prime is 12201130102219. The reversal of 12201130102212 is 21220103110221.

12201130102212 is a `hidden beast` number, since 1 + 220 + 1 + 130 + 102 + 212 = 666.

It is a super-2 number, since 2×122011301022122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12201130102219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7763853 + ... + 9202155.

Almost surely, 212201130102212 is an apocalyptic number.

12201130102212 is a gapful number since it is divisible by the number (12) 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 12201130102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655496042368).

12201130102212 is an abundant number, since it is smaller than the sum of its proper divisors (19109861982524).

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

12201130102212 is a wasteful number, since it uses less digits than its factorization.

12201130102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441897 (or 1441892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12201130102212 its reverse (21220103110221), we get a palindrome (33421233212433).

The spelling of 12201130102212 in words is "twelve trillion, two hundred one billion, one hundred thirty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 3517 7034 10551 14068 21102 31653 42204 63306 126612 235639 471278 706917 942556 1413834 1438303 2120751 2827668 2876606 4241502 4314909 5753212 8483004 8629818 12944727 17259636 25889454 51778908 96366301 192732602 289098903 385465204 578197806 867296709 1156395612 1734593418 3469186836 5058511651 10117023302 15175534953 20234046604 30351069906 45526604859 60702139812 91053209718 182106419436 338920280617 677840561234 1016760841851 1355681122468 2033521683702 3050282525553 4067043367404 6100565051106 12201130102212