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12421405320640 = 265347433725793
BaseRepresentation
bin1011010011000001010101…
…1100111010010111000000
31121222110211002112102112121
42310300111130322113000
53112003014230230030
642230152000334024
72421263001103111
oct264602534722700
947873732472477
1012421405320640
113a59985529438
121487427614314
136c14448c8014
1430d2b0962208
15168198b2b47a
hexb4c1573a5c0

12421405320640 has 112 divisors (see below), whose sum is σ = 29671701989472. Its totient is φ = 4952909152256.

The previous prime is 12421405320601. The next prime is 12421405320659. The reversal of 12421405320640 is 4602350412421.

It is a junction number, because it is equal to n+sod(n) for n = 12421405320596 and 12421405320605.

It is a congruent number.

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, 481567584 + ... + 481593376.

Almost surely, 212421405320640 is an apocalyptic number.

12421405320640 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 12421405320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835850994736).

12421405320640 is an abundant number, since it is smaller than the sum of its proper divisors (17250296668832).

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

12421405320640 is a wasteful number, since it uses less digits than its factorization.

12421405320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30494 (or 30484 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 12421405320640 in words is "twelve trillion, four hundred twenty-one billion, four hundred five million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 347 694 1388 1735 2776 3470 4337 5552 6940 8674 11104 13880 17348 21685 22208 25793 27760 34696 43370 51586 55520 69392 86740 103172 111040 128965 138784 173480 206344 257930 277568 346960 412688 515860 693920 825376 1031720 1387840 1504939 1650752 2063440 3009878 4126880 6019756 7524695 8253760 8950171 12039512 15049390 17900342 24079024 30098780 35800684 44750855 48158048 60197560 71601368 89501710 96316096 111864241 120395120 143202736 179003420 223728482 240790240 286405472 358006840 447456964 481580480 559321205 572810944 716013680 894913928 1118642410 1432027360 1789827856 2237284820 2864054720 3579655712 4474569640 7159311424 8949139280 17898278560 35796557120 38816891627 77633783254 155267566508 194084458135 310535133016 388168916270 621070266032 776337832540 1242140532064 1552675665080 2484281064128 3105351330160 6210702660320 12421405320640