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12120101121000 = 2335319212633353
BaseRepresentation
bin1011000001011110111001…
…0100100110101111101000
31120220200002200112012020010
42300113232110212233220
53042033431341333000
641435521513531520
72360435255466225
oct260275624465750
946820080465203
1012120101121000
1139531191266a4
121438b59413ba0
1369bbc7820a62
142dc88a52894c
15160411becd50
hexb05ee526be8

12120101121000 has 128 divisors (see below), whose sum is σ = 39804963868800. Its totient is φ = 3061920268800.

The previous prime is 12120101120989. The next prime is 12120101121131. The reversal of 12120101121000 is 12110102121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106259677 + ... + 106373676.

It is an arithmetic number, because the mean of its divisors is an integer number (310976280225).

Almost surely, 212120101121000 is an apocalyptic number.

12120101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120101121000 is an abundant number, since it is smaller than the sum of its proper divisors (27684862747800).

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

12120101121000 is a wasteful number, since it uses less digits than its factorization.

12120101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212633396 (or 212633382 counting only the distinct ones).

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

Adding to 12120101121000 its reverse (12110102121), we get a palindrome (12132211223121).

The spelling of 12120101121000 in words is "twelve trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 212633353 425266706 637900059 850533412 1063166765 1275800118 1701066824 2126333530 2551600236 3189500295 4040033707 4252667060 5103200472 5315833825 6379000590 8080067414 8505334120 10631667650 12120101121 12758001180 15947501475 16160134828 20200168535 21263335300 24240202242 25516002360 26579169125 31895002950 32320269656 40400337070 42526670600 48480404484 53158338250 60600505605 63790005900 79737507375 80800674140 96960808968 101000842675 106316676500 121201011210 127580011800 159475014750 161601348280 202001685350 212633353000 242402022420 303002528025 318950029500 404003370700 484804044840 505004213375 606005056050 637900059000 808006741400 1010008426750 1212010112100 1515012640125 2020016853500 2424020224200 3030025280250 4040033707000 6060050560500 12120101121000