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12131126152425 = 32527171014485907
BaseRepresentation
bin1011000010000111111101…
…1101110000110011101001
31120221201120001001211010100
42300201333131300303221
53042224021243334200
641444543514340013
72361305420635050
oct260417735606351
946851501054110
1012131126152425
113957866500a15
12143b11572a609
1369cc639a09a7
142dd214873397
15160859a83d00
hexb087f770ce9

12131126152425 has 144 divisors (see below), whose sum is σ = 26553273731712. Its totient is φ = 5167763712000.

The previous prime is 12131126152423. The next prime is 12131126152463. The reversal of 12131126152425 is 52425162113121.

12131126152425 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 12 + 615 + 2 + 4 + 25 = 666.

It is not a de Polignac number, because 12131126152425 - 21 = 12131126152423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131126152425.

It is not an unprimeable number, because it can be changed into a prime (12131126152423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461322 + ... + 4947228.

It is an arithmetic number, because the mean of its divisors is an integer number (184397734248).

Almost surely, 212131126152425 is an apocalyptic number.

12131126152425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12131126152425 is an abundant number, since it is smaller than the sum of its proper divisors (14422147579287).

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

12131126152425 is a wasteful number, since it uses less digits than its factorization.

12131126152425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486048 (or 4486040 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 12131126152425 its reverse (52425162113121), we get a palindrome (64556288265546).

The spelling of 12131126152425 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-six million, one hundred fifty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 101 105 119 153 175 225 255 303 315 357 425 505 525 595 707 765 909 1071 1275 1515 1575 1717 1785 2121 2525 2975 3535 3825 4545 5151 5355 6363 7575 8585 8925 10605 12019 15453 17675 22725 25755 26775 31815 36057 42925 53025 60095 77265 108171 128775 159075 180285 300475 386325 540855 901425 2704275 4485907 13457721 22429535 31401349 40373163 67288605 76260419 94204047 112147675 157006745 201865815 228781257 282612141 336443025 381302095 453076607 471020235 533822933 686343771 785033725 1009329075 1143906285 1359229821 1413060705 1601468799 1906510475 2265383035 2355101175 2669114665 3171536249 3431718855 4077689463 4804406397 5719531425 6796149105 7065303525 7702302319 8007343995 9514608747 11326915175 13345573325 15857681245 17158594275 20388447315 23106906957 24022031985 28543826241 33980745525 38511511595 40036719975 47573043735 53916116233 69320720871 79288406225 101942236575 115534534785 120110159925 142719131205 161748348699 192557557975 237865218675 269580581165 346603604355 485245046097 577672673925 713595656025 808741743495 1347902905825 1733018021775 2426225230485 4043708717475 12131126152425