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12330211320 = 2332574892941
BaseRepresentation
bin10110111101111000…
…00001011111111000
31011211022110122010100
423132330001133320
5200223013230240
65355303115400
7614361031650
oct133674013770
934738418110
1012330211320
1152580a0299
122481442b60
1312166ac83b
1484d817360
154c274ae30
hex2def017f8

12330211320 has 96 divisors (see below), whose sum is σ = 45797937120. Its totient is φ = 2818333440.

The previous prime is 12330211319. The next prime is 12330211321. The reversal of 12330211320 is 2311203321.

12330211320 is a `hidden beast` number, since 1 + 2 + 330 + 2 + 11 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12330211319) and next prime (12330211321).

It is a super-2 number, since 2×123302113202 (a number of 21 digits) contains 22 as substring.

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 = 12330211293 and 12330211302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330211321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2443951 + ... + 2448990.

It is an arithmetic number, because the mean of its divisors is an integer number (477061845).

Almost surely, 212330211320 is an apocalyptic number.

12330211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330211320 is an abundant number, since it is smaller than the sum of its proper divisors (33467725800).

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

12330211320 is a wasteful number, since it uses less digits than its factorization.

12330211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892965 (or 4892958 counting only the distinct ones).

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

Adding to 12330211320 its reverse (2311203321), we get a palindrome (14641414641).

The spelling of 12330211320 in words is "twelve billion, three hundred thirty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4892941 9785882 14678823 19571764 24464705 29357646 34250587 39143528 44036469 48929410 58715292 68501174 73394115 88072938 97858820 102751761 117430584 137002348 146788230 171252935 176145876 195717640 205503522 220182345 274004696 293576460 308255283 342505870 352291752 411007044 440364690 513758805 587152920 616510566 685011740 822014088 880729380 1027517610 1233021132 1370023480 1541276415 1761458760 2055035220 2466042264 3082552830 4110070440 6165105660 12330211320