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12101701319880 = 2335836311925563
BaseRepresentation
bin1011000000011010010110…
…0110111011110011001000
31120211220121101001110011120
42300012211212323303020
53041233241014214010
641423240030155240
72356214303661204
oct260064546736310
946756541043146
1012101701319880
1139463369a4797
121435483352b20
1369a25481b583
142dba22989b04
1515ebd66bee70
hexb01a59bbcc8

12101701319880 has 128 divisors (see below), whose sum is σ = 36800762987520. Its totient is φ = 3183185053440.

The previous prime is 12101701319879. The next prime is 12101701319881. The reversal of 12101701319880 is 8891310710121.

It is an interprime number because it is at equal distance from previous prime (12101701319879) and next prime (12101701319881).

It is not an unprimeable number, because it can be changed into a prime (12101701319881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5321979 + ... + 7247541.

It is an arithmetic number, because the mean of its divisors is an integer number (287505960840).

Almost surely, 212101701319880 is an apocalyptic number.

12101701319880 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 12101701319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400381493760).

12101701319880 is an abundant number, since it is smaller than the sum of its proper divisors (24699061667640).

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

12101701319880 is a wasteful number, since it uses less digits than its factorization.

12101701319880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926291 (or 1926287 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 42.

The spelling of 12101701319880 in words is "twelve trillion, one hundred one billion, seven hundred one million, three hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 631 664 830 996 1245 1262 1660 1893 1992 2490 2524 3155 3320 3786 4980 5048 6310 7572 9465 9960 12620 15144 18930 25240 37860 52373 75720 104746 157119 209492 261865 314238 418984 523730 628476 785595 1047460 1256952 1571190 1925563 2094920 3142380 3851126 5776689 6284760 7702252 9627815 11553378 15404504 19255630 23106756 28883445 38511260 46213512 57766890 77022520 115533780 159821729 231067560 319643458 479465187 639286916 799108645 958930374 1215030253 1278573832 1598217290 1917860748 2397325935 2430060506 3196434580 3645090759 3835721496 4794651870 4860121012 6075151265 6392869160 7290181518 9589303740 9720242024 12150302530 14580363036 18225453795 19178607480 24300605060 29160726072 36450907590 48601210120 72901815180 100847510999 145803630360 201695021998 302542532997 403390043996 504237554995 605085065994 806780087992 1008475109990 1210170131988 1512712664985 2016950219980 2420340263976 3025425329970 4033900439960 6050850659940 12101701319880