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221212321121120 = 25571347714655413
BaseRepresentation
bin110010010011000100000001…
…110100100000001101100000
31002000020200200000011110220212
4302103010001310200031200
5212443320313201333440
62102251312024353252
764411030352004410
oct6223040164401540
91060220600143825
10221212321121120
11645376893090aa
122098851a915828
1396583036a6714
143c8aa3a8d8640
151a89390663465
hexc93101d20360

221212321121120 has 96 divisors (see below), whose sum is σ = 597317625753408. Its totient is φ = 75838591531008.

The previous prime is 221212321121119. The next prime is 221212321121131. The reversal of 221212321121120 is 21121123212122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7766534 + ... + 22421946.

It is an arithmetic number, because the mean of its divisors is an integer number (6222058601598).

Almost surely, 2221212321121120 is an apocalyptic number.

221212321121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212321121120 is an abundant number, since it is smaller than the sum of its proper divisors (376105304632288).

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

221212321121120 is a wasteful number, since it uses less digits than its factorization.

221212321121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14668912 (or 14668904 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 221212321121120 its reverse (21121123212122), we get a palindrome (242333444333242).

The spelling of 221212321121120 in words is "two hundred twenty-one trillion, two hundred twelve billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 13477 26954 53908 67385 94339 107816 134770 188678 215632 269540 377356 431264 471695 539080 754712 943390 1078160 1509424 1886780 2156320 3018848 3773560 7547120 14655413 15094240 29310826 58621652 73277065 102587891 117243304 146554130 205175782 234486608 293108260 410351564 468973216 512939455 586216520 820703128 1025878910 1172433040 1641406256 2051757820 2344866080 3282812512 4103515640 8207031280 16414062560 197511001001 395022002002 790044004004 987555005005 1382577007007 1580088008008 1975110010010 2765154014014 3160176016016 3950220020020 5530308028028 6320352032032 6912885035035 7900440040040 11060616056056 13825770070070 15800880080080 22121232112112 27651540140140 31601760160160 44242464224224 55303080280280 110606160560560 221212321121120