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12541314202120 = 23511254932293463
BaseRepresentation
bin1011011010000000000010…
…0100111111101000001000
31122101221022202020201221001
42312200000210333220020
53120434102413431440
642401222240024344
72433036312553624
oct266400044775010
948357282221831
1012541314202120
113aa5817a088a0
1214a67109020b4
136cc843c5b2b2
14315007b4a184
1516b365ad3b9a
hexb680093fa08

12541314202120 has 128 divisors (see below), whose sum is σ = 30813734880000. Its totient is φ = 4555960980480.

The previous prime is 12541314202097. The next prime is 12541314202133. The reversal of 12541314202120 is 2120241314521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3621515509 + ... + 3621518971.

It is an arithmetic number, because the mean of its divisors is an integer number (240732303750).

Almost surely, 212541314202120 is an apocalyptic number.

12541314202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12541314202120 is an abundant number, since it is smaller than the sum of its proper divisors (18272420677880).

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

12541314202120 is a wasteful number, since it uses less digits than its factorization.

12541314202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 12541314202120 its reverse (2120241314521), we get a palindrome (14661555516641).

The spelling of 12541314202120 in words is "twelve trillion, five hundred forty-one billion, three hundred fourteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2549 3229 3463 5098 6458 6926 10196 12745 12916 13852 16145 17315 20392 25490 25832 27704 28039 32290 34630 35519 38093 50980 56078 64580 69260 71038 76186 101960 112156 129160 138520 140195 142076 152372 177595 190465 224312 280390 284152 304744 355190 380930 560780 710380 761860 1121560 1420760 1523720 8230721 8827187 11182027 16461442 17654374 22364054 32922884 35308748 41153605 44135935 44728108 55910135 65845768 70617496 82307210 88271870 89456216 90537931 97099057 111820270 123002297 164614420 176543740 181075862 194198114 223640540 246004594 329228840 353087480 362151724 388396228 447281080 452689655 485495285 492009188 615011485 724303448 776792456 905379310 970990570 984018376 1230022970 1810758620 1941981140 2460045940 3621517240 3883962280 4920091880 28502986823 57005973646 114011947292 142514934115 228023894584 285029868230 313532855053 570059736460 627065710106 1140119472920 1254131420212 1567664275265 2508262840424 3135328550530 6270657101060 12541314202120