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12202414321212 = 22332922961169681
BaseRepresentation
bin1011000110010001100010…
…0100100010111000111100
31121012112120020100000101000
42301210120210202320330
53044411021031234322
641541413423250300
72366411126240613
oct261443044427074
947175506300330
1012202414321212
11398501884a295
121450aaba49990
136a68b4c7009b
143028585aa87a
1516262d2e93ac
hexb1918922e3c

12202414321212 has 96 divisors (see below), whose sum is σ = 32728399905600. Its totient is φ = 3927019622400.

The previous prime is 12202414321193. The next prime is 12202414321267. The reversal of 12202414321212 is 21212341420221.

12202414321212 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 414 + 32 + 1 + 212 = 666.

It is a super-3 number, since 3×122024143212123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71829012 + ... + 71998692.

It is an arithmetic number, because the mean of its divisors is an integer number (340920832350).

Almost surely, 212202414321212 is an apocalyptic number.

12202414321212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202414321212 is an abundant number, since it is smaller than the sum of its proper divisors (20525985584388).

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

12202414321212 is a wasteful number, since it uses less digits than its factorization.

12202414321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192684 (or 192676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12202414321212 its reverse (21212341420221), we get a palindrome (33414755741433).

It can be divided in two parts, 12202 and 414321212, that added together give a palindrome (414333414).

The spelling of 12202414321212 in words is "twelve trillion, two hundred two billion, four hundred fourteen million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 22961 45922 68883 91844 137766 169681 206649 275532 339362 413298 509043 619947 665869 678724 826596 1018086 1239894 1331738 1527129 1997607 2036172 2479788 2663476 3054258 3995214 4581387 4920749 5992821 6108516 7990428 9162774 9841498 11985642 14762247 17978463 18325548 19682996 23971284 29524494 35956926 44286741 59048988 71913852 88573482 132860223 177146964 265720446 531440892 3896045441 7792090882 11688136323 15584181764 23376272646 35064408969 46752545292 70128817938 105193226907 112985317789 140257635876 210386453814 225970635578 338955953367 420772907628 451941271156 677911906734 1016867860101 1355823813468 2033735720202 3050603580303 4067471440404 6101207160606 12202414321212