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12102020102000 = 245329415089159
BaseRepresentation
bin1011000000011011100010…
…0110111111011101110000
31120211221102120220021000202
42300012320212333131300
53041234414121231000
641423331414534332
72356225224405143
oct260067046773560
946757376807022
1012102020102000
11394648a937494
1214355520673a8
1369a2a589434a
142dba5304c05a
1515ec0468ddd5
hexb01b89bf770

12102020102000 has 160 divisors (see below), whose sum is σ = 31010083977600. Its totient is φ = 4559885568000.

The previous prime is 12102020101993. The next prime is 12102020102009. The reversal of 12102020102000 is 20102020121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102020102009) by changing a digit.

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, 166580 + ... + 4922579.

It is an arithmetic number, because the mean of its divisors is an integer number (193813024860).

Almost surely, 212102020102000 is an apocalyptic number.

12102020102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102020102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505041988800).

12102020102000 is an abundant number, since it is smaller than the sum of its proper divisors (18908063875600).

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

12102020102000 is a wasteful number, since it uses less digits than its factorization.

12102020102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089252 (or 5089236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12102020102000 its reverse (20102020121), we get a palindrome (12122122122121).

The spelling of 12102020102000 in words is "twelve trillion, one hundred two billion, twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 41 50 58 80 82 100 116 125 145 164 200 205 232 250 290 328 400 410 464 500 580 656 725 820 1000 1025 1160 1189 1450 1640 2000 2050 2320 2378 2900 3280 3625 4100 4756 5125 5800 5945 7250 8200 9512 10250 11600 11890 14500 16400 19024 20500 23780 29000 29725 41000 47560 58000 59450 82000 95120 118900 148625 237800 297250 475600 594500 1189000 2378000 5089159 10178318 20356636 25445795 40713272 50891590 81426544 101783180 127228975 147585611 203566360 208655519 254457950 295171222 407132720 417311038 508915900 590342444 636144875 737928055 834622076 1017831800 1043277595 1180684888 1272289750 1475856110 1669244152 2035663600 2086555190 2361369776 2544579500 2951712220 3338488304 3689640275 4173110380 5089159000 5216387975 5903424440 6051010051 7379280550 8346220760 10178318000 10432775950 11806848880 12102020102 14758561100 16692441520 18448201375 20865551900 24204040204 26081939875 29517122200 30255050255 36896402750 41731103800 48408080408 52163879750 59034244400 60510100510 73792805500 83462207600 96816160816 104327759500 121020201020 147585611000 151275251275 208655519000 242040402040 295171222000 302550502550 417311038000 484080804080 605101005100 756376256375 1210202010200 1512752512750 2420404020400 3025505025500 6051010051000 12102020102000