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12202012112010 = 2357193967770897
BaseRepresentation
bin1011000110010000000010…
…0110001111010010001010
31121012111112012111200001220
42301210000212033102022
53044404210100041020
641541305454422510
72366365143435210
oct261440046172212
947174465450056
1012202012112010
113984931805596
1214509b9201a36
136a684c837086
1430281adcccb0
15162607d4b240
hexb190098f48a

12202012112010 has 128 divisors (see below), whose sum is σ = 35238796001280. Its totient is φ = 2641570735104.

The previous prime is 12202012111999. The next prime is 12202012112093. The reversal of 12202012112010 is 1021121020221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 15442882 + ... + 16213778.

It is an arithmetic number, because the mean of its divisors is an integer number (275303093760).

Almost surely, 212202012112010 is an apocalyptic number.

12202012112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202012112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619398000640).

12202012112010 is an abundant number, since it is smaller than the sum of its proper divisors (23036783889270).

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

12202012112010 is a wasteful number, since it uses less digits than its factorization.

12202012112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774900.

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

Adding to 12202012112010 its reverse (1021121020221), we get a palindrome (13223133132231).

The spelling of 12202012112010 in words is "twelve trillion, two hundred two billion, twelve million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3967 3990 7934 11901 19835 23802 27769 39670 55538 59505 75373 83307 119010 138845 150746 166614 226119 277690 376865 416535 452238 527611 753730 770897 833070 1055222 1130595 1541794 1582833 2261190 2312691 2638055 3165666 3854485 4625382 5276110 5396279 7708970 7914165 10792558 11563455 14647043 15828330 16188837 23126910 26981395 29294086 32377674 43941129 53962790 73235215 80944185 87882258 102529301 146470430 161888370 205058602 219705645 307587903 439411290 512646505 615175806 1025293010 1537939515 3058148399 3075879030 6116296798 9174445197 15290741995 18348890394 21407038793 30581483990 42814077586 45872225985 58104819581 64221116379 91744451970 107035193965 116209639162 128442232758 174314458743 214070387930 290524097905 321105581895 348628917486 406733737067 581048195810 642211163790 813467474134 871572293715 1220201211201 1743144587430 2033668685335 2440402422402 4067337370670 6101006056005 12202012112010