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12432300310980 = 223251116273859213
BaseRepresentation
bin1011010011101001111011…
…0110000000000111000100
31122000111221101101021121100
42310322132312000013010
53112142322334422410
642235153034020100
72422126664020254
oct264723666000704
948014841337540
1012432300310980
113a63566463990
121489568277630
136c248cb46874
1430da258d9964
151685d53768c0
hexb4e9ed801c4

12432300310980 has 144 divisors (see below), whose sum is σ = 41164908168384. Its totient is φ = 3012037781760.

The previous prime is 12432300310933. The next prime is 12432300310999. The reversal of 12432300310980 is 8901300323421.

12432300310980 is a `hidden beast` number, since 1 + 2 + 4 + 32 + 300 + 310 + 9 + 8 + 0 = 666.

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

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, 1291854 + ... + 5151066.

It is an arithmetic number, because the mean of its divisors is an integer number (285867417836).

Almost surely, 212432300310980 is an apocalyptic number.

12432300310980 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 12432300310980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582454084192).

12432300310980 is an abundant number, since it is smaller than the sum of its proper divisors (28732607857404).

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

12432300310980 is a wasteful number, since it uses less digits than its factorization.

12432300310980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860866 (or 3860861 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12432300310980 in words is "twelve trillion, four hundred thirty-two billion, three hundred million, three hundred ten thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1627 1980 3254 4881 6508 8135 9762 14643 16270 17897 19524 24405 29286 32540 35794 48810 53691 58572 71588 73215 89485 97620 107382 146430 161073 178970 214764 268455 292860 322146 357940 536910 644292 805365 1073820 1610730 3221460 3859213 7718426 11577639 15436852 19296065 23155278 34732917 38592130 42451343 46310556 57888195 69465834 77184260 84902686 115776390 127354029 138931668 169805372 173664585 212256715 231552780 254708058 347329170 382062087 424513430 509416116 636770145 694658340 764124174 849026860 1273540290 1528248348 1910310435 2547080580 3820620870 6278939551 7641241740 12557879102 18836818653 25115758204 31394697755 37673637306 56510455959 62789395510 69068335061 75347274612 94184093265 113020911918 125578791020 138136670122 188368186530 207205005183 226041823836 276273340244 282552279795 345341675305 376736373060 414410010366 565104559590 621615015549 690683350610 828820020732 1036025025915 1130209119180 1243230031098 1381366701220 2072050051830 2486460062196 3108075077745 4144100103660 6216150155490 12432300310980