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12102001212120 = 2335993110155071
BaseRepresentation
bin1011000000011011011101…
…1110111011101011011000
31120211221101021100112222120
42300012313132323223120
53041234344302241440
641423325502021240
72356224605011461
oct260066736735330
946757337315876
1012102001212120
113946480205216
121435547877820
1369a2a19ac2c1
142dba50731d68
1515ec02babdd0
hexb01b77bbad8

12102001212120 has 64 divisors (see below), whose sum is σ = 36309663037440. Its totient is φ = 3226875043200.

The previous prime is 12102001212109. The next prime is 12102001212139. The reversal of 12102001212120 is 2121210020121.

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 12102001212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3885816 + ... + 6269255.

It is an arithmetic number, because the mean of its divisors is an integer number (567338484960).

Almost surely, 212102001212120 is an apocalyptic number.

12102001212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102001212120 is an abundant number, since it is smaller than the sum of its proper divisors (24207661825320).

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

12102001212120 is a wasteful number, since it uses less digits than its factorization.

12102001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165016 (or 10165012 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102001212120 its reverse (2121210020121), we get a palindrome (14223211232241).

The spelling of 12102001212120 in words is "twelve trillion, one hundred two billion, one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9931 19862 29793 39724 49655 59586 79448 99310 119172 148965 198620 238344 297930 397240 595860 1191720 10155071 20310142 30465213 40620284 50775355 60930426 81240568 101550710 121860852 152326065 203101420 243721704 304652130 406202840 609304260 1218608520 100850010101 201700020202 302550030303 403400040404 504250050505 605100060606 806800080808 1008500101010 1210200121212 1512750151515 2017000202020 2420400242424 3025500303030 4034000404040 6051000606060 12102001212120