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12320622501440 = 265114185370167
BaseRepresentation
bin1011001101001001111001…
…0100111101111001000000
31121121211200100212202020012
42303102132110331321000
53103330113330021230
642112003231004052
72411064340215641
oct263223624757100
947554610782205
1012320622501440
113a20168227720
12146b99b669628
136b4aa2b6c866
1430846d9696c8
1516574ad10395
hexb349e53de40

12320622501440 has 112 divisors (see below), whose sum is σ = 32786242280064. Its totient is φ = 4370952499200.

The previous prime is 12320622501379. The next prime is 12320622501497. The reversal of 12320622501440 is 4410522602321.

12320622501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12320622501397 and 12320622501406.

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, 42540764 + ... + 42829403.

It is an arithmetic number, because the mean of its divisors is an integer number (292734306072).

Almost surely, 212320622501440 is an apocalyptic number.

12320622501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320622501440 is an abundant number, since it is smaller than the sum of its proper divisors (20465619778624).

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

12320622501440 is a wasteful number, since it uses less digits than its factorization.

12320622501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85370236 (or 85370226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 12320622501440 in words is "twelve trillion, three hundred twenty billion, six hundred twenty-two million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1640 1760 1804 2255 2624 3280 3520 3608 4510 6560 7216 9020 13120 14432 18040 28864 36080 72160 144320 85370167 170740334 341480668 426850835 682961336 853701670 939071837 1365922672 1707403340 1878143674 2731845344 3414806680 3500176847 3756287348 4695359185 5463690688 6829613360 7000353694 7512574696 9390718370 13659226720 14000707388 15025149392 17500884235 18781436740 27318453440 28001414776 30050298784 35001768470 37562873480 38501945317 56002829552 60100597568 70003536940 75125746960 77003890634 112005659104 140007073880 150251493920 154007781268 192509726585 224011318208 280014147760 300502987840 308015562536 385019453170 560028295520 616031125072 770038906340 1120056591040 1232062250144 1540077812680 2464124500288 3080155625360 6160311250720 12320622501440