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12031987123640 = 23511179257594427
BaseRepresentation
bin1010111100010110101001…
…0100011000010110111000
31120121020122212111100100102
42233011222110120112320
53034113002200424030
641331230225054532
72351165600043521
oct257055224302670
946536585440312
1012031987123640
113919812070280
121423a68187448
136937c4671193
142d84cbccd848
1515cea6216c45
hexaf16a5185b8

12031987123640 has 128 divisors (see below), whose sum is σ = 29813655225600. Its totient is φ = 4333888634880.

The previous prime is 12031987123631. The next prime is 12031987123649. The reversal of 12031987123640 is 4632178913021.

It is an interprime number because it is at equal distance from previous prime (12031987123631) and next prime (12031987123649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031987123649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19944107 + ... + 20538533.

It is an arithmetic number, because the mean of its divisors is an integer number (232919181450).

Almost surely, 212031987123640 is an apocalyptic number.

12031987123640 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 12031987123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906827612800).

12031987123640 is an abundant number, since it is smaller than the sum of its proper divisors (17781668101960).

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

12031987123640 is a wasteful number, since it uses less digits than its factorization.

12031987123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594885 (or 594881 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 12031987123640 in words is "twelve trillion, thirty-one billion, nine hundred eighty-seven million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 257 358 440 514 716 895 1028 1285 1432 1790 1969 2056 2570 2827 3580 3938 5140 5654 7160 7876 9845 10280 11308 14135 15752 19690 22616 28270 39380 46003 56540 78760 92006 113080 184012 230015 368024 460030 506033 594427 920060 1012066 1188854 1840120 2024132 2377708 2530165 2972135 4048264 4755416 5060330 5944270 6538697 10120660 11888540 13077394 20241320 23777080 26154788 32693485 52309576 65386970 106402433 130773940 152767739 212804866 261547880 305535478 425609732 532012165 611070956 763838695 851219464 1064024330 1170426763 1222141912 1527677390 1680445129 2128048660 2340853526 3055354780 3360890258 4256097320 4681707052 5852133815 6110709560 6721780516 8402225645 9363414104 11704267630 13443561032 16804451290 23408535260 27345425281 33608902580 46817070520 54690850562 67217805160 109381701124 136727126405 218763402248 273454252810 300799678091 546908505620 601599356182 1093817011240 1203198712364 1503998390455 2406397424728 3007996780910 6015993561820 12031987123640