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12485033391420 = 223251076471001911
BaseRepresentation
bin1011010110101110010111…
…1110101111010100111100
31122012120001102222022202200
42311223211332233110330
53114023322022011140
642315313430551500
72426004523554462
oct265534576572474
948176042868680
1012485033391420
113a839669577a7
121497824508590
136c7444bb3145
143123c91d0832
15169b6eb38030
hexb5ae5faf53c

12485033391420 has 144 divisors (see below), whose sum is σ = 38284323936768. Its totient is φ = 3293125879680.

The previous prime is 12485033391409. The next prime is 12485033391449. The reversal of 12485033391420 is 2419333058421.

It is a happy number.

12485033391420 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 503 + 33 + 91 + 4 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11960265 + ... + 12962175.

It is an arithmetic number, because the mean of its divisors is an integer number (265863360672).

Almost surely, 212485033391420 is an apocalyptic number.

12485033391420 is a gapful number since it is divisible by the number (10) 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 12485033391420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19142161968384).

12485033391420 is an abundant number, since it is smaller than the sum of its proper divisors (25799290545348).

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

12485033391420 is a wasteful number, since it uses less digits than its factorization.

12485033391420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002680 (or 1002675 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12485033391420 in words is "twelve trillion, four hundred eighty-five billion, thirty-three million, three hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 647 963 1070 1284 1294 1605 1926 1941 2140 2588 3210 3235 3852 3882 4815 5823 6420 6470 7764 9630 9705 11646 12940 19260 19410 23292 29115 38820 58230 69229 116460 138458 207687 276916 346145 415374 623061 692290 830748 1001911 1038435 1246122 1384580 2003822 2076870 2492244 3005733 3115305 4007644 4153740 5009555 6011466 6230610 9017199 10019110 12022932 12461220 15028665 18034398 20038220 30057330 36068796 45085995 60114660 90171990 107204477 180343980 214408954 321613431 428817908 536022385 643226862 648236417 964840293 1072044770 1286453724 1296472834 1608067155 1929680586 1944709251 2144089540 2592945668 3216134310 3241182085 3859361172 3889418502 4824201465 5834127753 6432268620 6482364170 7778837004 9648402930 9723546255 11668255506 12964728340 19296805860 19447092510 23336511012 29170638765 38894185020 58341277530 69361296619 116682555060 138722593238 208083889857 277445186476 346806483095 416167779714 624251669571 693612966190 832335559428 1040419449285 1248503339142 1387225932380 2080838898570 2497006678284 3121258347855 4161677797140 6242516695710 12485033391420