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12222101120 = 275191005107
BaseRepresentation
bin10110110000111111…
…00111011010000000
31011112210001001210212
423120133213122000
5200012324213440
65340442013252
7611606100605
oct133037473200
934483031725
1012222101120
11520206a519
1224511a7228
1311ca1896c8
1483d3146ac
154b7ee3465
hex2d87e7680

12222101120 has 64 divisors (see below), whose sum is σ = 30756304800. Its totient is φ = 4631528448.

The previous prime is 12222101119. The next prime is 12222101161. The reversal of 12222101120 is 2110122221.

12222101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12222101095 and 12222101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490394 + ... + 514713.

Almost surely, 212222101120 is an apocalyptic number.

12222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222101120 is an abundant number, since it is smaller than the sum of its proper divisors (18534203680).

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

12222101120 is a wasteful number, since it uses less digits than its factorization.

12222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005145 (or 1005133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12222101120 its reverse (2110122221), we get a palindrome (14332223341).

It can be divided in two parts, 12222101 and 120, that added together give a palindrome (12222221).

The spelling of 12222101120 in words is "twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 1005107 2010214 4020428 5025535 8040856 10051070 16081712 19097033 20102140 32163424 38194066 40204280 64326848 76388132 80408560 95485165 128653696 152776264 160817120 190970330 305552528 321634240 381940660 611105056 643268480 763881320 1222210112 1527762640 2444420224 3055525280 6111050560 12222101120