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12142404130300 = 22522941271376837
BaseRepresentation
bin1011000010110001111110…
…1011110101010111111100
31120222210200000120110022121
42300230133223311113330
53042420120424132200
641454050552452324
72362155044110033
oct260543753652774
946883600513277
1012142404130300
113961623641694
1214413426aa0a4
136a1040385492
142dd9a462371a
15160cb9c31e1a
hexb0b1faf55fc

12142404130300 has 144 divisors (see below), whose sum is σ = 28025532501120. Its totient is φ = 4558208256000.

The previous prime is 12142404130291. The next prime is 12142404130357. The reversal of 12142404130300 is 303140424121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 32033482 + ... + 32410318.

It is an arithmetic number, because the mean of its divisors is an integer number (194621753480).

Almost surely, 212142404130300 is an apocalyptic number.

12142404130300 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 12142404130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012766250560).

12142404130300 is an abundant number, since it is smaller than the sum of its proper divisors (15883128370820).

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

12142404130300 is a wasteful number, since it uses less digits than its factorization.

12142404130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377192 (or 377185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12142404130300 its reverse (303140424121), we get a palindrome (12445544554421).

The spelling of 12142404130300 in words is "twelve trillion, one hundred forty-two billion, four hundred four million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 271 290 410 542 580 725 820 1025 1084 1189 1355 1450 2050 2378 2710 2900 4100 4756 5420 5945 6775 7859 11111 11890 13550 15718 22222 23780 27100 29725 31436 39295 44444 55555 59450 78590 111110 118900 157180 196475 222220 277775 322219 376837 392950 555550 644438 753674 785900 1111100 1288876 1507348 1611095 1884185 3222190 3768370 6444380 7536740 8055475 9420925 10928273 15450317 16110950 18841850 21856546 30900634 32221900 37683700 43713092 54641365 61801268 77251585 102122827 109282730 154503170 204245654 218565460 273206825 309006340 386257925 408491308 448059193 510614135 546413650 772515850 896118386 1021228270 1092827300 1545031700 1792236772 2042456540 2240295965 2553070675 2961561983 4187035907 4480591930 5106141350 5923123966 8374071814 8961183860 10212282700 11201479825 11846247932 14807809915 16748143628 20935179535 22402959650 29615619830 41870359070 44805919300 59231239660 74039049575 83740718140 104675897675 121424041303 148078099150 209351795350 242848082606 296156198300 418703590700 485696165212 607120206515 1214240413030 2428480826060 3035601032575 6071202065150 12142404130300