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12001001978192 = 2423371396340933
BaseRepresentation
bin1010111010100011001101…
…1101011011100101010000
31120111021200110110212110212
42232220303131123211100
53033111023001300232
641305103441543252
72346021005462513
oct256506335334520
946437613425425
1012001001978192
113907661829957
121419a5b344b28
136908c71702a6
142d6bccac2d7a
1515c290d92eb2
hexaea3375b950

12001001978192 has 80 divisors (see below), whose sum is σ = 25097924046720. Its totient is φ = 5544308030976.

The previous prime is 12001001978183. The next prime is 12001001978213. The reversal of 12001001978192 is 29187910010021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277843 + ... + 5063090.

It is an arithmetic number, because the mean of its divisors is an integer number (313724050584).

Almost surely, 212001001978192 is an apocalyptic number.

It is an amenable number.

12001001978192 is an abundant number, since it is smaller than the sum of its proper divisors (13096922068528).

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

12001001978192 is a wasteful number, since it uses less digits than its factorization.

12001001978192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341140 (or 6341134 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 12001001978192 in words is "twelve trillion, one billion, one million, nine hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 37 46 74 92 139 148 184 278 296 368 556 592 851 1112 1702 2224 3197 3404 5143 6394 6808 10286 12788 13616 20572 25576 41144 51152 82288 118289 236578 473156 946312 1892624 6340933 12681866 25363732 50727464 101454928 145841459 234614521 291682918 469229042 583365836 881389687 938458084 1166731672 1762779374 1876916168 2333463344 3525558748 3753832336 5396133983 7051117496 10792267966 14102234992 20271962801 21584535932 32611418419 40543925602 43169071864 65222836838 81087851204 86338143728 130445673676 162175702408 260891347352 324351404816 521782694704 750062623637 1500125247274 3000250494548 6000500989096 12001001978192