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12104421324400 = 2452412832608037
BaseRepresentation
bin1011000000100100011110…
…1110111011011001110000
31120212011121221012222220201
42300021013232323121300
53041304323324340100
641424405553244544
72356341562432426
oct260110756733160
946764557188821
1012104421324400
113947502304409
121435b02263754
1369a5991ba4c2
142dbbddd09116
1515ece53a736a
hexb0247bbb670

12104421324400 has 120 divisors (see below), whose sum is σ = 29895438850704. Its totient is φ = 4706983372800.

The previous prime is 12104421324377. The next prime is 12104421324451. The reversal of 12104421324400 is 442312440121.

12104421324400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3337182 + ... + 5945218.

Almost surely, 212104421324400 is an apocalyptic number.

12104421324400 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 12104421324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947719425352).

12104421324400 is an abundant number, since it is smaller than the sum of its proper divisors (17791017526304).

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

12104421324400 is a wasteful number, since it uses less digits than its factorization.

12104421324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608379 (or 2608368 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12104421324400 its reverse (442312440121), we get a palindrome (12546733764521).

The spelling of 12104421324400 in words is "twelve trillion, one hundred four billion, four hundred twenty-one million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 283 328 400 410 566 656 820 1025 1132 1415 1640 2050 2264 2830 3280 4100 4528 5660 7075 8200 11320 11603 14150 16400 22640 23206 28300 46412 56600 58015 92824 113200 116030 185648 232060 290075 464120 580150 928240 1160300 2320600 2608037 4641200 5216074 10432148 13040185 20864296 26080370 41728592 52160740 65200925 104321480 106929517 130401850 208642960 213859034 260803700 427718068 521607400 534647585 738074471 855436136 1043214800 1069295170 1476148942 1710872272 2138590340 2673237925 2952297884 3690372355 4277180680 5346475850 5904595768 7380744710 8554361360 10692951700 11809191536 14761489420 18451861775 21385903400 29522978840 30261053311 36903723550 42771806800 59045957680 60522106622 73807447100 121044213244 147614894200 151305266555 242088426488 295229788400 302610533110 484176852976 605221066220 756526332775 1210442132440 1513052665550 2420884264880 3026105331100 6052210662200 12104421324400