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12340341120 = 273531207331
BaseRepresentation
bin10110111111000101…
…01010100110000000
31011212000112021121010
423133202222212000
5200233111403440
65400304200520
7614543111622
oct133742524600
934760467533
1012340341120
115262889a28
122484909140
1312188184c3
14850cd2c12
154c359c580
hex2df8aa980

12340341120 has 128 divisors (see below), whose sum is σ = 40603898880. Its totient is φ = 3184588800.

The previous prime is 12340341109. The next prime is 12340341131. The reversal of 12340341120 is 2114304321.

It is an interprime number because it is at equal distance from previous prime (12340341109) and next prime (12340341131).

It is a tau number, because it is divible by the number of its divisors (128).

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, 44146 + ... + 163185.

It is an arithmetic number, because the mean of its divisors is an integer number (317217960).

Almost surely, 212340341120 is an apocalyptic number.

12340341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340341120 is an abundant number, since it is smaller than the sum of its proper divisors (28263557760).

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

12340341120 is a wasteful number, since it uses less digits than its factorization.

12340341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207384 (or 207372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12340341120 its reverse (2114304321), we get a palindrome (14454645441).

The spelling of 12340341120 in words is "twelve billion, three hundred forty million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3720 3968 4960 5952 7440 9920 11904 14880 19840 29760 59520 207331 414662 621993 829324 1036655 1243986 1658648 2073310 2487972 3109965 3317296 4146620 4975944 6219930 6427261 6634592 8293240 9951888 12439860 12854522 13269184 16586480 19281783 19903776 24879720 25709044 26538368 32136305 33172960 38563566 39807552 49759440 51418088 64272610 66345920 77127132 79615104 96408915 99518880 102836176 128545220 132691840 154254264 192817830 199037760 205672352 257090440 308508528 385635660 398075520 411344704 514180880 617017056 771271320 822689408 1028361760 1234034112 1542542640 2056723520 2468068224 3085085280 4113447040 6170170560 12340341120