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12238972473192 = 23337191227317887
BaseRepresentation
bin1011001000011001101110…
…0110110100111101101000
31121100000221000221112222220
42302012123212310331220
53101010403423120232
642010301211314040
72402144101351233
oct262063346647550
947300830845886
1012238972473192
113999578989a33
121457bb314b920
136aa18cc36a8a
143045259d641a
1516356ca5e42c
hexb219b9b4f68

12238972473192 has 128 divisors (see below), whose sum is σ = 31728172400640. Its totient is φ = 3931207153920.

The previous prime is 12238972473139. The next prime is 12238972473223. The reversal of 12238972473192 is 29137427983221.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 38342073 + ... + 38659959.

It is an arithmetic number, because the mean of its divisors is an integer number (247876346880).

Almost surely, 212238972473192 is an apocalyptic number.

12238972473192 is a gapful number since it is divisible by the number (12) 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 12238972473192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864086200320).

12238972473192 is an abundant number, since it is smaller than the sum of its proper divisors (19489199927448).

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

12238972473192 is a wasteful number, since it uses less digits than its factorization.

12238972473192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318351 (or 318347 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The spelling of 12238972473192 in words is "twelve trillion, two hundred thirty-eight billion, nine hundred seventy-two million, four hundred seventy-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 191 222 227 296 382 444 454 573 681 764 888 908 1146 1362 1528 1816 2292 2724 4584 5448 7067 8399 14134 16798 21201 25197 28268 33596 42402 43357 50394 56536 67192 84804 86714 100788 130071 169608 173428 201576 260142 317887 346856 520284 635774 953661 1040568 1271548 1604209 1907322 2543096 3208418 3814644 4812627 6416836 7629288 9625254 11761819 12833672 19250508 23523638 35285457 38501016 47047276 60716417 70570914 72160349 94094552 121432834 141141828 144320698 182149251 216481047 242865668 282283656 288641396 364298502 432962094 485731336 577282792 728597004 865924188 1457194008 1731848376 2246507429 2669932913 4493014858 5339865826 6739522287 8009798739 8986029716 10679731652 13479044574 13782626659 16019597478 17972059432 21359463304 26958089148 27565253318 32039194956 41347879977 53916178296 55130506636 64078389912 82695759954 110261013272 165391519908 330783039816 509957186383 1019914372766 1529871559149 2039828745532 3059743118298 4079657491064 6119486236596 12238972473192