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12002112120112 = 24231091447206783
BaseRepresentation
bin1010111010100111010110…
…1000010010010100110000
31120111101112211101220220021
42232221311220102110300
53033120311200320422
641305405540053224
72346060345516052
oct256516550222460
946441484356807
1012002112120112
113908081440a14
12141a10b094214
13690a431622ba
142d6c963018d2
1515c30857ddc7
hexaea75a12530

12002112120112 has 80 divisors (see below), whose sum is σ = 24504797306880. Its totient is φ = 5683520722176.

The previous prime is 12002112120023. The next prime is 12002112120127. The reversal of 12002112120112 is 21102121120021.

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 15 ways as a sum of consecutive naturals, for example, 57938673 + ... + 58145455.

It is an arithmetic number, because the mean of its divisors is an integer number (306309966336).

Almost surely, 212002112120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002112120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252398653440).

12002112120112 is an abundant number, since it is smaller than the sum of its proper divisors (12502685186768).

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

12002112120112 is a wasteful number, since it uses less digits than its factorization.

12002112120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208370 (or 208364 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12002112120112 its reverse (21102121120021), we get a palindrome (33104233240133).

The spelling of 12002112120112 in words is "twelve trillion, two billion, one hundred twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 109 184 218 368 436 872 1447 1744 2507 2894 5014 5788 10028 11576 20056 23152 33281 40112 66562 133124 157723 206783 266248 315446 413566 532496 630892 827132 1261784 1654264 2523568 3308528 3627629 4756009 7255258 9512018 14510516 19024036 22539347 29021032 38048072 45078694 58042064 76096144 90157388 180314776 299215001 360629552 518404981 598430002 1036809962 1196860004 2073619924 2393720008 4147239848 4787440016 6881945023 8294479696 13763890046 27527780092 32614435109 55055560184 65228870218 110111120368 130457740436 260915480872 521830961744 750132007507 1500264015014 3000528030028 6001056060056 12002112120112