Search a number
-
+
12012120011200 = 265227192761153
BaseRepresentation
bin1010111011001100101000…
…1001010111000111000000
31120112100101022000110120011
42232303022021113013000
53033301310210324300
641314143003554304
72346563350265101
oct256631211270700
946470338013504
1012012120011200
113911347655691
12142004282b994
1369197968344a
142d756551a3a8
1515c6e1e99eba
hexaecca2571c0

12012120011200 has 84 divisors (see below), whose sum is σ = 29568204170560. Its totient is φ = 4803079127040.

The previous prime is 12012120011179. The next prime is 12012120011249. The reversal of 12012120011200 is 211002121021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2969824 + ... + 5730976.

Almost surely, 212012120011200 is an apocalyptic number.

12012120011200 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 12012120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784102085280).

12012120011200 is an abundant number, since it is smaller than the sum of its proper divisors (17556084159360).

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

12012120011200 is a wasteful number, since it uses less digits than its factorization.

12012120011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763894 (or 2763879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12012120011200 its reverse (211002121021), we get a palindrome (12223122132221).

The spelling of 12012120011200 in words is "twelve trillion, twelve billion, one hundred twenty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2719 5438 10876 13595 21752 27190 43504 54380 67975 87008 108760 135950 174016 217520 271900 435040 543800 870080 1087600 2175200 2761153 4350400 5522306 11044612 13805765 22089224 27611530 44178448 55223060 69028825 88356896 110446120 138057650 176713792 220892240 276115300 441784480 552230600 883568960 1104461200 2208922400 4417844800 7507575007 15015150014 30030300028 37537875035 60060600056 75075750070 120121200112 150151500140 187689375175 240242400224 300303000280 375378750350 480484800448 600606000560 750757500700 1201212001120 1501515001400 2402424002240 3003030002800 6006060005600 12012120011200