Search a number
-
+
12213330120 = 2333511308639
BaseRepresentation
bin10110101111111100…
…01010000011001000
31011112011112110021000
423113332022003020
5200003103030440
65335530015000
7611441410305
oct132776120310
934464473230
1012213330120
1151a8119762
12244a277460
1311c8408374
1483c0b00ac
154b735e730
hex2d7f8a0c8

12213330120 has 64 divisors (see below), whose sum is σ = 40711104000. Its totient is φ = 3256887744.

The previous prime is 12213330113. The next prime is 12213330127. The reversal of 12213330120 is 2103331221.

12213330120 is a `hidden beast` number, since 1 + 2 + 213 + 330 + 120 = 666.

12213330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12213330113) and next prime (12213330127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12213330093 and 12213330102.

It is not an unprimeable number, because it can be changed into a prime (12213330127) 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 15 ways as a sum of consecutive naturals, for example, 5653240 + ... + 5655399.

It is an arithmetic number, because the mean of its divisors is an integer number (636111000).

Almost surely, 212213330120 is an apocalyptic number.

12213330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213330120 is an abundant number, since it is smaller than the sum of its proper divisors (28497773880).

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

12213330120 is a wasteful number, since it uses less digits than its factorization.

12213330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308659 (or 11308649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12213330120 its reverse (2103331221), we get a palindrome (14316661341).

The spelling of 12213330120 in words is "twelve billion, two hundred thirteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11308639 22617278 33925917 45234556 56543195 67851834 90469112 101777751 113086390 135703668 169629585 203555502 226172780 271407336 305333253 339259170 407111004 452345560 508888755 610666506 678518340 814222008 1017777510 1221333012 1357036680 1526666265 2035555020 2442666024 3053332530 4071110040 6106665060 12213330120