Search a number
-
+
12230120120 = 2352989118463
BaseRepresentation
bin10110110001111100…
…01101001010111000
31011120100010110210212
423120332031022320
5200021402320440
65341325530252
7612034206611
oct133076151270
934510113725
1012230120120
115206647299
122453a13988
1311cba3668a
14840400c08
154b8a79465
hex2d8f8d2b8

12230120120 has 64 divisors (see below), whose sum is σ = 28786752000. Its totient is φ = 4670245888.

The previous prime is 12230120053. The next prime is 12230120129. The reversal of 12230120120 is 2102103221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12230120095 and 12230120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230120129) 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, 44009 + ... + 162471.

It is an arithmetic number, because the mean of its divisors is an integer number (449793000).

Almost surely, 212230120120 is an apocalyptic number.

12230120120 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 12230120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14393376000).

12230120120 is an abundant number, since it is smaller than the sum of its proper divisors (16556631880).

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

12230120120 is a wasteful number, since it uses less digits than its factorization.

12230120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118592 (or 118588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12230120120 its reverse (2102103221), we get a palindrome (14332223341).

The spelling of 12230120120 in words is "twelve billion, two hundred thirty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 20648 25810 51620 103240 118463 236926 473852 592315 947704 1184630 2369260 3435427 4738520 6870854 10543207 13741708 17177135 21086414 27483416 34354270 42172828 52716035 68708540 84345656 105432070 137417080 210864140 305753003 421728280 611506006 1223012012 1528765015 2446024024 3057530030 6115060060 12230120120