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12100211211000 = 2335311366673067
BaseRepresentation
bin1011000000010100110011…
…0010100111101011111000
31120211202202112011002001210
42300011030302213223320
53041222213032223000
641422432120043120
72356132341160353
oct260051462475370
946752675132053
1012100211211000
11394574185a950
1214351283034a0
1369a077bb0443
142db920add29a
1515eb4a97b350
hexb014cca7af8

12100211211000 has 128 divisors (see below), whose sum is σ = 41184718997760. Its totient is φ = 2933384528000.

The previous prime is 12100211210999. The next prime is 12100211211017. The reversal of 12100211211000 is 11211200121.

It is a super-2 number, since 2×121002112110002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 183303534 + ... + 183369533.

It is an arithmetic number, because the mean of its divisors is an integer number (321755617170).

Almost surely, 212100211211000 is an apocalyptic number.

12100211211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100211211000 is an abundant number, since it is smaller than the sum of its proper divisors (29084507786760).

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

12100211211000 is a wasteful number, since it uses less digits than its factorization.

12100211211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366673102 (or 366673088 counting only the distinct ones).

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

Adding to 12100211211000 its reverse (11211200121), we get a palindrome (12111422411121).

The spelling of 12100211211000 in words is "twelve trillion, one hundred billion, two hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 366673067 733346134 1100019201 1466692268 1833365335 2200038402 2933384536 3666730670 4033403737 4400076804 5500096005 7333461340 8066807474 8800153608 9166826675 11000192010 12100211211 14666922680 16133614948 18333653350 20167018685 22000384020 24200422422 27500480025 32267229896 36667306700 40334037370 44000768040 45834133375 48400844844 55000960050 60501056055 73334613400 80668074740 91668266750 96801689688 100835093425 110001920100 121002112110 137502400125 161336149480 183336533500 201670186850 220003840200 242004224220 275004800250 302505280275 366673067000 403340373700 484008448440 504175467125 550009600500 605010560550 806680747400 1008350934250 1100019201000 1210021121100 1512526401375 2016701868500 2420042242200 3025052802750 4033403737000 6050105605500 12100211211000