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12222023120 = 245229667141
BaseRepresentation
bin10110110000111110…
…10100010111010000
31011112202220002210222
423120133110113100
5200012314214440
65340440212212
7611605324316
oct133037242720
934482802728
1012222023120
11520201695a
12245116a068
1311ca160058
1483d2d40b6
154b7eca2b5
hex2d87d45d0

12222023120 has 40 divisors (see below), whose sum is σ = 28540334760. Its totient is φ = 4867453440.

The previous prime is 12222023119. The next prime is 12222023123. The reversal of 12222023120 is 2132022221.

12222023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7599654976 + 4622368144 = 87176^2 + 67988^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222023123) by changing a digit.

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, 315251 + ... + 351890.

It is an arithmetic number, because the mean of its divisors is an integer number (713508369).

Almost surely, 212222023120 is an apocalyptic number.

12222023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222023120 is an abundant number, since it is smaller than the sum of its proper divisors (16318311640).

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

12222023120 is a wasteful number, since it uses less digits than its factorization.

12222023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667383 (or 667377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12222023120 its reverse (2132022221), we get a palindrome (14354045341).

The spelling of 12222023120 in words is "twelve billion, two hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 667141 1334282 2668564 3335705 5337128 6671410 10674256 13342820 26685640 53371280 152775289 305550578 611101156 763876445 1222202312 1527752890 2444404624 3055505780 6111011560 12222023120