Search a number
-
+
121232200122330 = 235112357112796817
BaseRepresentation
bin11011100100001010010010…
…001110010011111111011010
3120220020200111110200211202020
4123210022102032103333122
5111342232021212403310
61105501145345515310
734351510635334653
oct3344122216237732
9526220443624666
10121232200122330
11356a03184a7850
121171b742642b36
1352851bbb519ab
1421d1953cb252a
15e037db1ad170
hex6e4292393fda

121232200122330 has 128 divisors (see below), whose sum is σ = 331266400690176. Its totient is φ = 28106882073600.

The previous prime is 121232200122311. The next prime is 121232200122413. The reversal of 121232200122330 is 33221002232121.

It is a self number, because there is not a number n which added to its sum of digits gives 121232200122330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41948082 + ... + 44744898.

It is an arithmetic number, because the mean of its divisors is an integer number (2588018755392).

Almost surely, 2121232200122330 is an apocalyptic number.

121232200122330 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 121232200122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165633200345088).

121232200122330 is an abundant number, since it is smaller than the sum of its proper divisors (210034200567846).

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

121232200122330 is a wasteful number, since it uses less digits than its factorization.

121232200122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802572.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121232200122330 its reverse (33221002232121), we get a palindrome (154453202354451).

The spelling of 121232200122330 in words is "one hundred twenty-one trillion, two hundred thirty-two billion, two hundred million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 5711 7590 11422 17133 28555 34266 57110 62821 85665 125642 131353 171330 188463 262706 314105 376926 394059 628210 656765 788118 942315 1313530 1444883 1884630 1970295 2796817 2889766 3940590 4334649 5593634 7224415 8390451 8669298 13984085 14448830 16780902 21673245 27968170 30764987 41952255 43346490 61529974 64326791 83904510 92294961 128653582 153824935 184589922 192980373 307649870 321633955 385960746 461474805 643267910 707594701 922949610 964901865 1415189402 1929803730 2122784103 3537973505 4245568206 7075947010 10613920515 15972621887 21227841030 31945243774 47917865661 79863109435 95835731322 159726218870 175698840757 239589328305 351397681514 367370303401 479178656610 527096522271 734740606802 878494203785 1054193044542 1102110910203 1756988407570 1836851517005 2204221820406 2635482611355 3673703034010 4041073337411 5270965222710 5510554551015 8082146674822 11021109102030 12123220012233 20205366687055 24246440024466 40410733374110 60616100061165 121232200122330