Search a number
-
+
120102422331012 = 2231119313121359297
BaseRepresentation
bin11011010011101110000110…
…001110000011111010000100
3120202020200100022110112122120
4123103232012032003322010
5111220224230104043022
61103234142514525540
734204053662504202
oct3323560616037204
9522220308415576
10120102422331012
11352a5173384470
12115787a22968b0
1352027c0a43474
142192db9ac4072
15dd4216377d5c
hex6d3b86383e84

120102422331012 has 96 divisors (see below), whose sum is σ = 307323549477504. Its totient is φ = 36203239833600.

The previous prime is 120102422330993. The next prime is 120102422331013. The reversal of 120102422331012 is 210133224201021.

It is not an unprimeable number, because it can be changed into a prime (120102422331013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334090948 + ... + 334450244.

It is an arithmetic number, because the mean of its divisors is an integer number (3201286973724).

Almost surely, 2120102422331012 is an apocalyptic number.

120102422331012 is a gapful number since it is divisible by the number (12) 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 120102422331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153661774738752).

120102422331012 is an abundant number, since it is smaller than the sum of its proper divisors (187221127146492).

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

120102422331012 is a wasteful number, since it uses less digits than its factorization.

120102422331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372629 (or 372627 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120102422331012 its reverse (210133224201021), we get a palindrome (330235646532033).

The spelling of 120102422331012 in words is "one hundred twenty trillion, one hundred two billion, four hundred twenty-two million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4246 6369 8492 12738 13121 25476 26242 39363 52484 78726 144331 157452 288662 359297 432993 577324 718594 865986 1077891 1437188 1731972 2155782 2532353 3952267 4311564 5064706 7597059 7904534 10129412 11856801 15194118 15809068 23713602 27855883 30388236 47427204 55711766 69344321 83567649 111423532 138688642 167135298 208032963 277377284 334270596 416065926 762787531 832131852 1525575062 2288362593 3051150124 4576725186 4714335937 9153450372 9428671874 14143007811 18857343748 28286015622 51857695307 56572031244 103715390614 155573085921 207430781228 311146171842 622292343684 909866835841 1819733671682 2729600507523 3639467343364 5459201015046 10008535194251 10918402030092 20017070388502 30025605582753 40034140777004 60051211165506 120102422331012