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12531424112000 = 27537310728959
BaseRepresentation
bin1011011001011011001100…
…0101010010110110000000
31122100222210111022002210222
42312112303011102312000
53120303324033041000
642352505021042212
72432236241306633
oct266266305226600
948328714262728
1012531424112000
113aa16022437a2
1214a48106b6368
136cb928c74171
1431474a437c1a
1516ae876d6a85
hexb65b3152d80

12531424112000 has 128 divisors (see below), whose sum is σ = 31583054131200. Its totient is φ = 4943903846400.

The previous prime is 12531424111993. The next prime is 12531424112027. The reversal of 12531424112000 is 21142413521.

It is a happy number.

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, 4196480 + ... + 6532479.

It is an arithmetic number, because the mean of its divisors is an integer number (246742610400).

Almost surely, 212531424112000 is an apocalyptic number.

12531424112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12531424112000 is an abundant number, since it is smaller than the sum of its proper divisors (19051630019200).

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

12531424112000 is an equidigital number, since it uses as much as digits as its factorization.

12531424112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729061 (or 10729039 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 12531424112000 its reverse (21142413521), we get a palindrome (12552566525521).

The spelling of 12531424112000 in words is "twelve trillion, five hundred thirty-one billion, four hundred twenty-four million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 292 320 365 400 500 584 640 730 800 1000 1168 1460 1600 1825 2000 2336 2920 3200 3650 4000 4672 5840 7300 8000 9125 9344 11680 14600 16000 18250 23360 29200 36500 46720 58400 73000 116800 146000 233600 292000 584000 1168000 10728959 21457918 42915836 53644795 85831672 107289590 171663344 214579180 268223975 343326688 429158360 536447950 686653376 783214007 858316720 1072895900 1341119875 1373306752 1566428014 1716633440 2145791800 2682239750 3132856028 3433266880 3916070035 4291583600 5364479500 6265712056 6866533760 7832140070 8583167200 10728959000 12531424112 15664280140 17166334400 19580350175 21457918000 25062848224 31328560280 34332668800 39160700350 42915836000 50125696448 62657120560 78321400700 85831672000 97901750875 100251392896 125314241120 156642801400 171663344000 195803501750 250628482240 313285602800 391607003500 501256964480 626571205600 783214007000 1253142411200 1566428014000 2506284822400 3132856028000 6265712056000 12531424112000