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12102201020 = 22571334719163
BaseRepresentation
bin10110100010101100…
…01110111010111100
31011020102102111210102
423101112032322330
5144241130413040
65320520100232
7605622003620
oct132126167274
934212374712
1012102201020
115150416828
122419004678
1311ab3990c0
1482b423180
154ac70c515
hex2d158eebc

12102201020 has 96 divisors (see below), whose sum is σ = 31371314688. Its totient is φ = 3818909952.

The previous prime is 12102200959. The next prime is 12102201037. The reversal of 12102201020 is 2010220121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12102200992 and 12102201010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621959 + ... + 641121.

It is an arithmetic number, because the mean of its divisors is an integer number (326784528).

Almost surely, 212102201020 is an apocalyptic number.

12102201020 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 12102201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685657344).

12102201020 is an abundant number, since it is smaller than the sum of its proper divisors (19269113668).

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

12102201020 is a wasteful number, since it uses less digits than its factorization.

12102201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19539 (or 19537 counting only the distinct ones).

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

Adding to 12102201020 its reverse (2010220121), we get a palindrome (14112421141).

The spelling of 12102201020 in words is "twelve billion, one hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 347 364 455 694 910 1388 1735 1820 2429 3470 4511 4858 6940 9022 9716 12145 18044 19163 22555 24290 31577 38326 45110 48580 63154 76652 90220 95815 126308 134141 157885 191630 249119 268282 315770 383260 498238 536564 631540 670705 996476 1245595 1341410 1743833 2491190 2682820 3487666 4982380 6649561 6975332 8719165 13299122 17438330 26598244 33247805 34876660 46546927 66495610 86444293 93093854 132991220 172888586 186187708 232734635 345777172 432221465 465469270 605110051 864442930 930938540 1210220102 1728885860 2420440204 3025550255 6051100510 12102201020