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12101023110120 = 2335783111733363
BaseRepresentation
bin1011000000010111110100…
…1011110001001111101000
31120211211212002212211021120
42300011331023301033220
53041230343404010440
641423044441535240
72356161430203240
oct260057513611750
946754762784246
1012101023110120
11394601908875a
1214353141a4520
1369a17716b419
142db99a884b20
1515eb96da3dd0
hexb017d2f13e8

12101023110120 has 128 divisors (see below), whose sum is σ = 41494238115840. Its totient is φ = 2765613738240.

The previous prime is 12101023110119. The next prime is 12101023110157. The reversal of 12101023110120 is 2101132010121.

12101023110120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101023110120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6114559 + ... + 7847921.

It is an arithmetic number, because the mean of its divisors is an integer number (324173735280).

Almost surely, 212101023110120 is an apocalyptic number.

12101023110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101023110120 is an abundant number, since it is smaller than the sum of its proper divisors (29393215005720).

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

12101023110120 is a wasteful number, since it uses less digits than its factorization.

12101023110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741695 (or 1741691 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12101023110120 its reverse (2101132010121), we get a palindrome (14202155120241).

The spelling of 12101023110120 in words is "twelve trillion, one hundred one billion, twenty-three million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 8311 16622 24933 33244 41555 49866 58177 66488 83110 99732 116354 124665 166220 174531 199464 232708 249330 290885 332440 349062 465416 498660 581770 698124 872655 997320 1163540 1396248 1733363 1745310 2327080 3466726 3490620 5200089 6933452 6981240 8666815 10400178 12133541 13866904 17333630 20800356 24267082 26000445 34667260 36400623 41600712 48534164 52000890 60667705 69334520 72801246 97068328 104001780 121335410 145602492 182003115 208003560 242670820 291204984 364006230 485341640 728012460 1456024920 14405979893 28811959786 43217939679 57623919572 72029899465 86435879358 100841859251 115247839144 144059798930 172871758716 201683718502 216089698395 288119597860 302525577753 345743517432 403367437004 432179396790 504209296255 576239195720 605051155506 806734874008 864358793580 1008418592510 1210102311012 1512627888765 1728717587160 2016837185020 2420204622024 3025255777530 4033674370040 6050511555060 12101023110120