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12202202000212 = 22741263112935797
BaseRepresentation
bin1011000110010000101111…
…1010100110101101010100
31121012112000102210222201021
42301210023322212231110
53044410102203001322
641541340400410524
72366402640446140
oct261441372465524
947175012728637
1012202202000212
113984a19a11394
121450a50916a44
136a687cc90963
143028382dc220
151626198594c7
hexb190bea6b54

12202202000212 has 96 divisors (see below), whose sum is σ = 25117618014720. Its totient is φ = 5077923194880.

The previous prime is 12202202000203. The next prime is 12202202000221. The reversal of 12202202000212 is 21200020220221.

12202202000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12202202000203) and next prime (12202202000221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340854298 + ... + 340890094.

It is an arithmetic number, because the mean of its divisors is an integer number (261641854320).

Almost surely, 212202202000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202202000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558809007360).

12202202000212 is an abundant number, since it is smaller than the sum of its proper divisors (12915416014508).

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

12202202000212 is a wasteful number, since it uses less digits than its factorization.

12202202000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37241 (or 37239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12202202000212 its reverse (21200020220221), we get a palindrome (33402222220433).

The spelling of 12202202000212 in words is "twelve trillion, two hundred two billion, two hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 41 82 164 263 287 526 574 1052 1129 1148 1841 2258 3682 4516 7364 7903 10783 15806 21566 31612 35797 43132 46289 71594 75481 92578 143188 150962 185156 250579 296927 301924 324023 501158 593854 648046 1002316 1187708 1296092 1467677 2078489 2935354 4156978 5870708 8313956 9414611 10273739 12174007 18829222 20547478 24348014 37658444 40414813 41094956 48696028 65902277 80829626 85218049 131804554 161659252 170436098 263609108 282903691 340872196 385999051 565807382 771998102 1131614764 1543996204 1657007333 2701993357 3314014666 5403986714 6628029332 10629095819 10807973428 11599051331 21258191638 23198102662 42516383276 46396205324 74403670733 148807341466 297614682932 435792928579 871585857158 1743171714316 3050550500053 6101101000106 12202202000212