Search a number
-
+
12200011120 = 2451173189913
BaseRepresentation
bin10110101110010110…
…10110010101110000
31011111020110210000201
423113023112111300
5144441200323440
65334332324544
7611220245353
oct132713262560
934436423021
1012200011120
1151a0651a20
122445913754
1311c5723bbb
1483a40429a
154b60cd19a
hex2d72d6570

12200011120 has 80 divisors (see below), whose sum is σ = 31367715552. Its totient is φ = 4375572480.

The previous prime is 12200011111. The next prime is 12200011123. The reversal of 12200011120 is 2111000221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12200011097 and 12200011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200011123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30717 + ... + 159196.

Almost surely, 212200011120 is an apocalyptic number.

12200011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200011120 is an abundant number, since it is smaller than the sum of its proper divisors (19167704432).

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

12200011120 is a wasteful number, since it uses less digits than its factorization.

12200011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190010 (or 190004 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200011120 its reverse (2111000221), we get a palindrome (14311011341).

The spelling of 12200011120 in words is "twelve billion, two hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 2920 3212 4015 5840 6424 8030 12848 16060 32120 64240 189913 379826 759652 949565 1519304 1899130 2089043 3038608 3798260 4178086 7596520 8356172 10445215 13863649 15193040 16712344 20890430 27727298 33424688 41780860 55454596 69318245 83561720 110909192 138636490 152500139 167123440 221818384 277272980 305000278 554545960 610000556 762500695 1109091920 1220001112 1525001390 2440002224 3050002780 6100005560 12200011120