Search a number
-
+
12002212122200 = 23521391453297133
BaseRepresentation
bin1010111010100111101110…
…0101110000111001011000
31120111101210210120112222022
42232221323211300321120
53033121012300402300
641305423511314012
72346063001520246
oct256517345607130
946441723515868
1012002212122200
113908122933a73
12141a13867b908
13690a5aaa6a31
142d6ca56d3796
1515c312234285
hexaea7b970e58

12002212122200 has 96 divisors (see below), whose sum is σ = 28125337623600. Its totient is φ = 4763049730560.

The previous prime is 12002212122137. The next prime is 12002212122217. The reversal of 12002212122200 is 222121220021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40244834 + ... + 40541966.

Almost surely, 212002212122200 is an apocalyptic number.

12002212122200 is a gapful number since it is divisible by the number (10) 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 12002212122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062668811800).

12002212122200 is an abundant number, since it is smaller than the sum of its proper divisors (16123125501400).

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

12002212122200 is a wasteful number, since it uses less digits than its factorization.

12002212122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298741 (or 298732 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12002212122200 its reverse (222121220021), we get a palindrome (12224333342221).

The spelling of 12002212122200 in words is "twelve trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 1453 2780 2906 3475 5560 5812 6950 7265 11624 13900 14530 27800 29060 36325 58120 72650 145300 201967 290600 297133 403934 594266 807868 1009835 1188532 1485665 1615736 2019670 2377064 2971330 4039340 5049175 5942660 7428325 8078680 10098350 11885320 14856650 20196700 29713300 40393400 41301487 59426600 82602974 165205948 206507435 330411896 413014870 431734249 826029740 863468498 1032537175 1652059480 1726936996 2065074350 2158671245 3453873992 4130148700 4317342490 8260297400 8634684980 10793356225 17269369960 21586712450 43173424900 60011060611 86346849800 120022121222 240044242444 300055303055 480088484888 600110606110 1200221212220 1500276515275 2400442424440 3000553030550 6001106061100 12002212122200