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12139094920500 = 2232533772907477
BaseRepresentation
bin1011000010100101101001…
…1100001100110100110100
31120222111010101201011212200
42300221122130030310310
53042341331244424000
641452342340544500
72362010042226042
oct260513234146464
946874111634780
1012139094920500
113960185687359
12144077a3b2130
136a09338ca182
142dd76cd2b392
15160b74460500
hexb0a5a70cd34

12139094920500 has 144 divisors (see below), whose sum is σ = 39329793192144. Its totient is φ = 3149602963200.

The previous prime is 12139094920499. The next prime is 12139094920501. The reversal of 12139094920500 is 502949093121.

12139094920500 is a `hidden beast` number, since 1 + 2 + 1 + 39 + 0 + 94 + 9 + 20 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (12139094920499) and next prime (12139094920501).

It can be written as a sum of positive squares in 8 ways, for example, as 161999810064 + 11977095110436 = 402492^2 + 3460794^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12139094920501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36287239 + ... + 36620238.

Almost surely, 212139094920500 is an apocalyptic number.

12139094920500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12139094920500 is an abundant number, since it is smaller than the sum of its proper divisors (27190698271644).

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

12139094920500 is a wasteful number, since it uses less digits than its factorization.

12139094920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72907539 (or 72907524 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12139094920500 in words is "twelve trillion, one hundred thirty-nine billion, ninety-four million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 125 148 150 180 185 222 225 250 300 333 370 375 444 450 500 555 666 740 750 900 925 1110 1125 1332 1500 1665 1850 2220 2250 2775 3330 3700 4500 4625 5550 6660 8325 9250 11100 13875 16650 18500 27750 33300 41625 55500 83250 166500 72907477 145814954 218722431 291629908 364537385 437444862 656167293 729074770 874889724 1093612155 1312334586 1458149540 1822686925 2187224310 2624669172 2697576649 3280836465 3645373850 4374448620 5395153298 5468060775 6561672930 7290747700 8092729947 9113434625 10790306596 10936121550 13123345860 13487883245 16185459894 16404182325 18226869250 21872243100 24278189841 26975766490 27340303875 32370919788 32808364650 36453738500 40463649735 48556379682 53951532980 54680607750 65616729300 67439416225 80927299470 82020911625 97112759364 109361215500 121390949205 134878832450 161854598940 164041823250 202318248675 242781898410 269757664900 328083646500 337197081125 404636497350 485563796820 606954746025 674394162250 809272994700 1011591243375 1213909492050 1348788324500 2023182486750 2427818984100 3034773730125 4046364973500 6069547460250 12139094920500