Search a number
-
+
12121063533414 = 232111072224725717
BaseRepresentation
bin1011000001100010011110…
…1011111010101101100110
31120220202120202110210212100
42300120213223322231212
53042042414231032124
641440201213432530
72360501153040303
oct260304753725546
946822522423770
1012121063533414
113953572407360
12143918779b746
1369c01c02a464
142dc93c2900aa
1516046b4571c9
hexb0627afab66

12121063533414 has 96 divisors (see below), whose sum is σ = 28919965890816. Its totient is φ = 3638416944960.

The previous prime is 12121063533401. The next prime is 12121063533461. The reversal of 12121063533414 is 41433536012121.

12121063533414 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 0 + 635 + 3 + 3 + 4 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471312084 + ... + 471337800.

It is an arithmetic number, because the mean of its divisors is an integer number (301249644696).

Almost surely, 212121063533414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121063533414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459982945408).

12121063533414 is an abundant number, since it is smaller than the sum of its proper divisors (16798902357402).

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

12121063533414 is a wasteful number, since it uses less digits than its factorization.

12121063533414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48090 (or 48087 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12121063533414 its reverse (41433536012121), we get a palindrome (53554599545535).

The spelling of 12121063533414 in words is "twelve trillion, one hundred twenty-one billion, sixty-three million, five hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 10593 21186 22247 25717 44494 51434 66741 77151 133482 154302 200223 231453 244717 282887 400446 462906 489434 565774 734151 848661 1468302 1697322 2202453 2380429 2545983 2751719 4404906 4760858 5091966 5503438 7141287 8255157 14282574 16510314 21423861 24765471 26184719 30268909 42847722 49530942 52369438 60537818 78554157 90806727 157108314 181613454 235662471 272420181 471324942 544840362 572126099 1144252198 1716378297 3432756594 5149134891 6293387089 10298269782 12586774178 18880161267 37760322534 56640483801 61217492593 113280967602 122434985186 183652477779 367304955558 550957433337 673392418523 1101914866674 1346784837046 2020177255569 4040354511138 6060531766707 12121063533414