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12412708920 = 2334537310271
BaseRepresentation
bin10111000111101101…
…01110100000111000
31012001001200221120000
423203312232200320
5200410123141140
65411411233000
7616412166513
oct134366564070
935031627500
1012412708920
11529a717a27
1224a4ba8760
13122a8059a1
1485a76dd7a
154c9ae4a30
hex2e3dae838

12412708920 has 160 divisors (see below), whose sum is σ = 41836417920. Its totient is φ = 3300860160.

The previous prime is 12412708909. The next prime is 12412708951. The reversal of 12412708920 is 2980721421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1203385 + ... + 1213655.

It is an arithmetic number, because the mean of its divisors is an integer number (261477612).

Almost surely, 212412708920 is an apocalyptic number.

12412708920 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 12412708920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918208960).

12412708920 is an abundant number, since it is smaller than the sum of its proper divisors (29423709000).

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

12412708920 is a wasteful number, since it uses less digits than its factorization.

12412708920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12412708920 in words is "twelve billion, four hundred twelve million, seven hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 373 405 540 648 746 810 1080 1119 1492 1620 1865 2238 2984 3240 3357 3730 4476 5595 6714 7460 8952 10071 10271 11190 13428 14920 16785 20142 20542 22380 26856 30213 30813 33570 40284 41084 44760 50355 51355 60426 61626 67140 80568 82168 92439 100710 102710 120852 123252 134280 151065 154065 184878 201420 205420 241704 246504 277317 302130 308130 369756 402840 410840 462195 554634 604260 616260 739512 831951 924390 1109268 1208520 1232520 1386585 1663902 1848780 2218536 2773170 3327804 3697560 3831083 4159755 5546340 6655608 7662166 8319510 11092680 11493249 15324332 16639020 19155415 22986498 30648664 33278040 34479747 38310830 45972996 57466245 68959494 76621660 91945992 103439241 114932490 137918988 153243320 172398735 206878482 229864980 275837976 310317723 344797470 413756964 459729960 517196205 620635446 689594940 827513928 1034392410 1241270892 1379189880 1551588615 2068784820 2482541784 3103177230 4137569640 6206354460 12412708920