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12168932092120 = 23531439161313859
BaseRepresentation
bin1011000100010100110011…
…0111111110100011011000
31121002100010210121112201001
42301011030313332203120
53043333433103421440
641514155155034344
72364114324055426
oct261051467764330
947070123545631
1012168932092120
1139718a6a16a81
12144650689b9b4
136a36aa3212cb
14300d9d8ac116
1516181db23b9a
hexb114cdfe8d8

12168932092120 has 128 divisors (see below), whose sum is σ = 28347314688000. Its totient is φ = 4696571543040.

The previous prime is 12168932092103. The next prime is 12168932092133. The reversal of 12168932092120 is 2129023986121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878045751 + ... + 878059609.

It is an arithmetic number, because the mean of its divisors is an integer number (221463396000).

Almost surely, 212168932092120 is an apocalyptic number.

12168932092120 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 12168932092120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173657344000).

12168932092120 is an abundant number, since it is smaller than the sum of its proper divisors (16178382595880).

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

12168932092120 is a wasteful number, since it uses less digits than its factorization.

12168932092120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15949 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 12168932092120 in words is "twelve trillion, one hundred sixty-eight billion, nine hundred thirty-two million, ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 439 620 878 1240 1613 1756 2195 3226 3512 4390 6452 8065 8780 12904 13609 13859 16130 17560 27218 27718 32260 50003 54436 55436 64520 68045 69295 100006 108872 110872 136090 138590 200012 250015 272180 277180 400024 429629 500030 544360 554360 708107 859258 1000060 1416214 1718516 2000120 2148145 2832428 3437032 3540535 4296290 5664856 6084101 7081070 8592580 12168202 14162140 17185160 21951317 22354567 24336404 28324280 30420505 43902634 44709134 48672808 60841010 87805268 89418268 109756585 111772835 121682020 175610536 178836536 188607131 219513170 223545670 243364040 377214262 439026340 447091340 692991577 754428524 878052680 894182680 943035655 1385983154 1508857048 1886071310 2771966308 3464957885 3772142620 5543932616 6929915770 7544285240 9813654913 13859831540 19627309826 27719663080 39254619652 49068274565 78509239304 98136549130 196273098260 304223302303 392546196520 608446604606 1216893209212 1521116511515 2433786418424 3042233023030 6084466046060 12168932092120