Search a number
-
+
120112202011120 = 24511136491138649
BaseRepresentation
bin11011010011110111001101…
…001000100101000111110000
3120202021121120212122202200221
4123103313031020211013300
5111220404242203323440
61103242441151222424
734204551223431124
oct3323671510450760
9522247525582627
10120112202011120
11352a9331797920
121157a671517a14
1352036bbbb0727
142193666895584
15dd45d9c15d4a
hex6d3dcd2251f0

120112202011120 has 40 divisors (see below), whose sum is σ = 304648221466800. Its totient is φ = 43677164367360.

The previous prime is 120112202011001. The next prime is 120112202011141. The reversal of 120112202011120 is 21110202211021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120112202011094 and 120112202011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68245568445 + ... + 68245570204.

It is an arithmetic number, because the mean of its divisors is an integer number (7616205536670).

Almost surely, 2120112202011120 is an apocalyptic number.

120112202011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112202011120 is an abundant number, since it is smaller than the sum of its proper divisors (184536019455680).

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

120112202011120 is a wasteful number, since it uses less digits than its factorization.

120112202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136491138673 (or 136491138667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120112202011120 its reverse (21110202211021), we get a palindrome (141222404222141).

The spelling of 120112202011120 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 136491138649 272982277298 545964554596 682455693245 1091929109192 1364911386490 1501402525139 2183858218384 2729822772980 3002805050278 5459645545960 6005610100556 7507012625695 10919291091920 12011220201112 15014025251390 24022440402224 30028050502780 60056101005560 120112202011120