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12107903918940 = 22325215993114317
BaseRepresentation
bin1011000000110001011101…
…0011111110001101011100
31120212111121122100010111200
42300030113103332031130
53041333441400401230
641430143321315500
72356524101130324
oct260142723761534
946774548303450
1012107903918940
113948a2a123215
121436714635b90
1369aa0287162b
142dc050656284
1515ee4aec7160
hexb03174fe35c

12107903918940 has 72 divisors (see below), whose sum is σ = 36729020764800. Its totient is φ = 3228623854464.

The previous prime is 12107903918813. The next prime is 12107903918941. The reversal of 12107903918940 is 4981930970121.

12107903918940 is a `hidden beast` number, since 121 + 0 + 7 + 90 + 391 + 8 + 9 + 40 = 666.

It is a super-2 number, since 2×121079039189402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107903918941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2330662 + ... + 5444978.

It is an arithmetic number, because the mean of its divisors is an integer number (510125288400).

Almost surely, 212107903918940 is an apocalyptic number.

12107903918940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12107903918940 is an abundant number, since it is smaller than the sum of its proper divisors (24621116845860).

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

12107903918940 is a wasteful number, since it uses less digits than its factorization.

12107903918940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135931 (or 3135926 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 12107903918940 in words is "twelve trillion, one hundred seven billion, nine hundred three million, nine hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21599 43198 64797 86396 107995 129594 194391 215990 259188 323985 388782 431980 647970 777564 971955 1295940 1943910 3114317 3887820 6228634 9342951 12457268 15571585 18685902 28028853 31143170 37371804 46714755 56057706 62286340 93429510 112115412 140144265 186859020 280288530 560577060 67266132883 134532265766 201798398649 269064531532 336330664415 403596797298 605395195947 672661328830 807193594596 1008991993245 1210790391894 1345322657660 2017983986490 2421580783788 3026975979735 4035967972980 6053951959470 12107903918940