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12101212001200 = 2452719227466391
BaseRepresentation
bin1011000000011000100001…
…1100010101001110110000
31120211212100021022111010111
42300012020130111032300
53041231240233014300
641423115310311104
72356166212562140
oct260061034251660
946755307274114
1012101212001200
113946105773393
1214353674b8494
1369a1a73361aa
142db9b79b4920
1515eba87669ba
hexb01887153b0

12101212001200 has 120 divisors (see below), whose sum is σ = 34975232433920. Its totient is φ = 3930619219200.

The previous prime is 12101212001119. The next prime is 12101212001213. The reversal of 12101212001200 is 210021210121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113679996 + ... + 113786395.

Almost surely, 212101212001200 is an apocalyptic number.

12101212001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101212001200 is an abundant number, since it is smaller than the sum of its proper divisors (22874020432720).

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

12101212001200 is a wasteful number, since it uses less digits than its factorization.

12101212001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227466435 (or 227466424 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12101212001200 its reverse (210021210121), we get a palindrome (12311233211321).

The spelling of 12101212001200 in words is "twelve trillion, one hundred one billion, two hundred twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 133 140 152 175 190 200 266 280 304 350 380 400 475 532 560 665 700 760 950 1064 1330 1400 1520 1900 2128 2660 2800 3325 3800 5320 6650 7600 10640 13300 26600 53200 227466391 454932782 909865564 1137331955 1592264737 1819731128 2274663910 3184529474 3639462256 4321861429 4549327820 5686659775 6369058948 7961323685 8643722858 9098655640 11373319550 12738117896 15922647370 17287445716 18197311280 21609307145 22746639100 25476235792 30253030003 31845294740 34574891432 39806618425 43218614290 45493278200 60506060006 63690589480 69149782864 79613236850 86437228580 90986556400 108046535725 121012120012 127381178960 151265150015 159226473700 172874457160 216093071450 242024240024 302530300030 318452947400 345748914320 432186142900 484048480048 605060600060 636905894800 756325750075 864372285800 1210121200120 1512651500150 1728744571600 2420242400240 3025303000300 6050606000600 12101212001200