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12020102102000 = 245341146586611
BaseRepresentation
bin1010111011101010010111…
…1010100111101111110000
31120120002222120201200122202
42232322211322213233300
53033414132114231000
641321543023522332
72350265223034616
oct256724572475760
946502876650582
1012020102102000
113914773300643
1214216aba593a8
1369264c2959b5
142d7ac16816b6
1515ca0cb08dd5
hexaeea5ea7bf0

12020102102000 has 80 divisors (see below), whose sum is σ = 29773499936544. Its totient is φ = 4690771520000.

The previous prime is 12020102101981. The next prime is 12020102102009. The reversal of 12020102102000 is 20120102021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020102102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73211306 + ... + 73375305.

Almost surely, 212020102102000 is an apocalyptic number.

12020102102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020102102000 is an abundant number, since it is smaller than the sum of its proper divisors (17753397834544).

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

12020102102000 is a wasteful number, since it uses less digits than its factorization.

12020102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146586675 (or 146586659 counting only the distinct ones).

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

Adding to 12020102102000 its reverse (20120102021), we get a palindrome (12040222204021).

The spelling of 12020102102000 in words is "twelve trillion, twenty billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 146586611 293173222 586346444 732933055 1172692888 1465866110 2345385776 2931732220 3664665275 5863464440 6010051051 7329330550 11726928880 12020102102 14658661100 18323326375 24040204204 29317322200 30050255255 36646652750 48080408408 58634644400 60100510510 73293305500 96160816816 120201021020 146586611000 150251276275 240402042040 293173222000 300502552550 480804084080 601005105100 751256381375 1202010210200 1502512762750 2404020420400 3005025525500 6010051051000 12020102102000