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12002120112400 = 24521110127007471
BaseRepresentation
bin1010111010100111011000…
…0110110001100100010000
31120111101120101102222020221
42232221312012301210100
53033120320222044100
641305410423242424
72346060503454145
oct256516606614420
946441511388227
1012002120112400
1139080859aa710
12141a1118a9414
13690a44a00072
142d6c973c23cc
1515c30910c01a
hexaea761b1910

12002120112400 has 120 divisors (see below), whose sum is σ = 31767917044608. Its totient is φ = 4321195200000.

The previous prime is 12002120112379. The next prime is 12002120112439. The reversal of 12002120112400 is 421102120021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13059336 + ... + 13948135.

Almost surely, 212002120112400 is an apocalyptic number.

12002120112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002120112400 is an abundant number, since it is smaller than the sum of its proper divisors (19765796932208).

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

12002120112400 is a wasteful number, since it uses less digits than its factorization.

12002120112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27007601 (or 27007590 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12002120112400 its reverse (421102120021), we get a palindrome (12423222232421).

The spelling of 12002120112400 in words is "twelve trillion, two billion, one hundred twenty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 27007471 54014942 108029884 135037355 216059768 270074710 297082181 432119536 540149420 594164362 675186775 1080298840 1188328724 1350373550 1485410905 2160597680 2376657448 2700747100 2727754571 2970821810 4753314896 5401494200 5455509142 5941643620 7427054525 10802988400 10911018284 11883287240 13638772855 14854109050 21822036568 23766574480 27277545710 29708218100 30005300281 43644073136 54555091420 59416436200 60010600562 68193864275 109110182840 118832872400 120021201124 136387728550 150026501405 218220365680 240042402248 272775457100 300053002810 480084804496 545550914200 600106005620 750132507025 1091101828400 1200212011240 1500265014050 2400424022480 3000530028100 6001060056200 12002120112400