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12542633006120 = 2357277161715227
BaseRepresentation
bin1011011010000100111100…
…1011110101010000101000
31122102001201122210220220122
42312201033023311100220
53120444303022143440
642402001150342412
72433114065322350
oct266411713652050
948361648726818
1012542633006120
113aa6334389858
1214a6a1a4baa08
136cc9c424b1a9
143150d0d63b60
1516b3e178a7b5
hexb684f2f5428

12542633006120 has 64 divisors (see below), whose sum is σ = 32368920036480. Its totient is φ = 4284806628096.

The previous prime is 12542633006081. The next prime is 12542633006143. The reversal of 12542633006120 is 2160033624521.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80780054 + ... + 80935173.

It is an arithmetic number, because the mean of its divisors is an integer number (505764375570).

Almost surely, 212542633006120 is an apocalyptic number.

12542633006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12542633006120 is an abundant number, since it is smaller than the sum of its proper divisors (19826287030360).

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

12542633006120 is a wasteful number, since it uses less digits than its factorization.

12542633006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161715522 (or 161715518 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 12542633006120 in words is "twelve trillion, five hundred forty-two billion, six hundred thirty-three million, six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1385 1939 2216 2770 3878 5540 7756 9695 11080 15512 19390 38780 77560 161715227 323430454 646860908 808576135 1132006589 1293721816 1617152270 2264013178 3234304540 4528026356 5660032945 6468609080 9056052712 11320065890 22640131780 44795117879 45280263560 89590235758 179180471516 223975589395 313565825153 358360943032 447951178790 627131650306 895902357580 1254263300612 1567829125765 1791804715160 2508526601224 3135658251530 6271316503060 12542633006120