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12329755520 = 275107401449
BaseRepresentation
bin10110111101110100…
…10010001110000000
31011211021121110212212
423132322102032000
5200222404134040
65355245241252
7614354123045
oct133672221600
934737543785
1012329755520
1152579098a5
122481263228
131216580234
1484d7391cc
154c26aad65
hex2dee92380

12329755520 has 128 divisors (see below), whose sum is σ = 29891916000. Its totient is φ = 4862771200.

The previous prime is 12329755517. The next prime is 12329755523. The reversal of 12329755520 is 2555792321.

It is an interprime number because it is at equal distance from previous prime (12329755517) and next prime (12329755523).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329755523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27460256 + ... + 27460704.

Almost surely, 212329755520 is an apocalyptic number.

12329755520 is a gapful number since it is divisible by the number (10) 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 12329755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945958000).

12329755520 is an abundant number, since it is smaller than the sum of its proper divisors (17562160480).

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

12329755520 is a wasteful number, since it uses less digits than its factorization.

12329755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The spelling of 12329755520 in words is "twelve billion, three hundred twenty-nine million, seven hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 401 428 449 535 640 802 856 898 1070 1604 1712 1796 2005 2140 2245 3208 3424 3592 4010 4280 4490 6416 6848 7184 8020 8560 8980 12832 13696 14368 16040 17120 17960 25664 28736 32080 34240 35920 42907 48043 51328 57472 64160 68480 71840 85814 96086 128320 143680 171628 180049 192172 214535 240215 256640 287360 343256 360098 384344 429070 480430 686512 720196 768688 858140 900245 960860 1373024 1440392 1537376 1716280 1800490 1921720 2746048 2880784 3074752 3432560 3600980 3843440 5492096 5761568 6149504 6865120 7201960 7686880 11523136 13730240 14403920 15373760 19265243 23046272 27460480 28807840 30747520 38530486 57615680 77060972 96326215 115231360 154121944 192652430 308243888 385304860 616487776 770609720 1232975552 1541219440 2465951104 3082438880 6164877760 12329755520