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12040511242400 = 2552172338492683
BaseRepresentation
bin1010111100110110011001…
…1001010100000010100000
31120122001122221010110000122
42233031212121110002200
53034232431334224100
641335200130335412
72351620043622644
oct257154631240240
946561587113018
1012040511242400
113922396778923
121425646a2a568
13694552662434
142d8a9a02ac24
1515d304741985
hexaf3666540a0

12040511242400 has 144 divisors (see below), whose sum is σ = 32476123520064. Its totient is φ = 4335815700480.

The previous prime is 12040511242393. The next prime is 12040511242493. The reversal of 12040511242400 is 424211504021.

It is a self number, because there is not a number n which added to its sum of digits gives 12040511242400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18933542 + ... + 19559141.

It is an arithmetic number, because the mean of its divisors is an integer number (225528635556).

Almost surely, 212040511242400 is an apocalyptic number.

12040511242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040511242400 is an abundant number, since it is smaller than the sum of its proper divisors (20435612277664).

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

12040511242400 is a wasteful number, since it uses less digits than its factorization.

12040511242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38492743 (or 38492730 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12040511242400 its reverse (424211504021), we get a palindrome (12464722746421).

The spelling of 12040511242400 in words is "twelve trillion, forty billion, five hundred eleven million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 68 80 85 92 100 115 136 160 170 184 200 230 272 340 368 391 400 425 460 544 575 680 736 782 800 850 920 1150 1360 1564 1700 1840 1955 2300 2720 3128 3400 3680 3910 4600 6256 6800 7820 9200 9775 12512 13600 15640 18400 19550 31280 39100 62560 78200 156400 312800 38492683 76985366 153970732 192463415 307941464 384926830 615882928 654375611 769853660 885331709 962317075 1231765856 1308751222 1539707320 1770663418 1924634150 2617502444 3079414640 3271878055 3541326836 3849268300 4426658545 5235004888 6158829280 6543756110 7082653672 7698536600 8853317090 10470009776 13087512220 14165307344 15050639053 15397073200 16359390275 17706634180 20940019552 22133292725 26175024440 28330614688 30101278106 30794146400 32718780550 35413268360 44266585450 52350048880 60202556212 65437561100 70826536720 75253195265 88533170900 104700097760 120405112424 130875122200 141653073440 150506390530 177066341800 240810224848 261750244400 301012781060 354132683600 376265976325 481620449696 523500488800 602025562120 708265367200 752531952650 1204051124240 1505063905300 2408102248480 3010127810600 6020255621200 12040511242400