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12105839680 = 2651128112239
BaseRepresentation
bin10110100011001000…
…00111010001000000
31011020200021101002121
423101210013101000
5144243043332210
65321130054024
7605664640144
oct132144072100
934220241077
1012105839680
115152481590
12241a27a314
1311ac07135c
1482bacd224
154acbca6da
hex2d1907440

12105839680 has 112 divisors (see below), whose sum is σ = 31562161920. Its totient is φ = 4386099200.

The previous prime is 12105839633. The next prime is 12105839737. The reversal of 12105839680 is 8693850121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983001 + ... + 995239.

Almost surely, 212105839680 is an apocalyptic number.

12105839680 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 12105839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781080960).

12105839680 is an abundant number, since it is smaller than the sum of its proper divisors (19456322240).

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

12105839680 is a wasteful number, since it uses less digits than its factorization.

12105839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 12105839680 in words is "twelve billion, one hundred five million, eight hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 281 320 352 440 562 704 880 1124 1405 1760 2248 2810 3091 3520 4496 5620 6182 8992 11240 12239 12364 15455 17984 22480 24478 24728 30910 44960 48956 49456 61195 61820 89920 97912 98912 122390 123640 134629 195824 197824 244780 247280 269258 391648 489560 494560 538516 673145 783296 979120 989120 1077032 1346290 1958240 2154064 2692580 3439159 3916480 4308128 5385160 6878318 8616256 10770320 13756636 17195795 21540640 27513272 34391590 37830749 43081280 55026544 68783180 75661498 110053088 137566360 151322996 189153745 220106176 275132720 302645992 378307490 550265440 605291984 756614980 1100530880 1210583968 1513229960 2421167936 3026459920 6052919840 12105839680