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12101101002120 = 23351375471027841
BaseRepresentation
bin1011000000011000000111…
…0100111001110110001000
31120211212001112110011000110
42300012001310321312020
53041231023324031440
641423100303234320
72356163364236514
oct260060164716610
946755045404013
1012101101002120
11394605904a109
1214353362a89a0
1369a18a341170
142db9a6d5d144
1515eb9db3d080
hexb0181d39d88

12101101002120 has 128 divisors (see below), whose sum is σ = 39101083136640. Its totient is φ = 2978334965760.

The previous prime is 12101101002103. The next prime is 12101101002169. The reversal of 12101101002120 is 2120010110121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101101002096 and 12101101002105.

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, 11259400 + ... + 12287240.

It is an arithmetic number, because the mean of its divisors is an integer number (305477212005).

Almost surely, 212101101002120 is an apocalyptic number.

12101101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101002120 is an abundant number, since it is smaller than the sum of its proper divisors (26999982134520).

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

12101101002120 is a wasteful number, since it uses less digits than its factorization.

12101101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035415 (or 1035411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101101002120 its reverse (2120010110121), we get a palindrome (14221111112241).

The spelling of 12101101002120 in words is "twelve trillion, one hundred one billion, one hundred one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 7547 15094 22641 30188 37735 45282 60376 75470 90564 98111 113205 150940 181128 196222 226410 294333 301880 392444 452820 490555 588666 784888 905640 981110 1027841 1177332 1471665 1962220 2055682 2354664 2943330 3083523 3924440 4111364 5139205 5886660 6167046 8222728 10278410 11773320 12334092 13361933 15417615 20556820 24668184 26723866 30835230 40085799 41113640 53447732 61670460 66809665 80171598 106895464 123340920 133619330 160343196 200428995 267238660 320686392 400857990 534477320 801715980 1603431960 7757116027 15514232054 23271348081 31028464108 38785580135 46542696162 62056928216 77571160270 93085392324 100842508351 116356740405 155142320540 186170784648 201685016702 232713480810 302527525053 310284641080 403370033404 465426961620 504212541755 605055050106 806740066808 930853923240 1008425083510 1210110100212 1512637625265 2016850167020 2420220200424 3025275250530 4033700334040 6050550501060 12101101002120