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12037881289225 = 5211219923172
BaseRepresentation
bin1010111100101100100110…
…1000110101101000001001
31120121210212122101222111111
42233023021220311220021
53034212040102223400
641334043141330321
72351464630446661
oct257131150655011
946553778358444
1012037881289225
113921267185100
1214250321069a1
1369422383291c
142d88caa2d1a1
1515d1ed8e63ba
hexaf2c9a35a09

12037881289225 has 81 divisors (see below), whose sum is σ = 16542380615061. Its totient is φ = 8683349716800.

The previous prime is 12037881289219. The next prime is 12037881289243. The reversal of 12037881289225 is 52298218873021.

The square root of 12037881289225 is 3469565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4859039888329 + 7178841400896 = 2204323^2 + 2679336^2 .

It is not a de Polignac number, because 12037881289225 - 219 = 12037880764937 is a prime.

It is a super-2 number, since 2×120378812892252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12037881289225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37974388767 + ... + 37974389083.

Almost surely, 212037881289225 is an apocalyptic number.

12037881289225 is the 3469565-th square number.

12037881289225 is the 1734783-rd centered octagonal number.

It is an amenable number.

12037881289225 is a deficient number, since it is larger than the sum of its proper divisors (4504499325836).

12037881289225 is an frugal number, since it uses more digits than its factorization.

12037881289225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 12037881289225 in words is "twelve trillion, thirty-seven billion, eight hundred eighty-one million, two hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 199 275 317 605 995 1585 2189 3025 3487 4975 7925 10945 17435 24079 38357 39601 54725 63083 87175 100489 120395 191785 198005 315415 435611 502445 601975 693913 958925 990025 1105379 1577075 2178055 2512225 3469565 4791721 5526895 7633043 10890275 12159169 12553517 17347825 19997311 23958605 27634475 38165215 60795845 62767585 99986555 119793025 138088687 190826075 219970421 303979225 313837925 499932775 690443435 1099852105 1518975557 2419674631 3452217175 3979464889 5499260525 7594877785 12098373155 19897324445 37974388925 43774113779 60491865775 99486622225 218870568895 481515251569 1094352844475 2407576257845 12037881289225