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12230133120 = 273259072341
BaseRepresentation
bin10110110001111100…
…10000010110000000
31011120100011010122100
423120332100112000
5200021403224440
65341330110400
7612034262532
oct133076202600
934510133570
1012230133120
115206656037
122453a1b400
1311cba3c57a
14840405852
154b8a7d230
hex2d8f90580

12230133120 has 192 divisors, whose sum is σ = 42296801040. Its totient is φ = 3256381440.

The previous prime is 12230133119. The next prime is 12230133121. The reversal of 12230133120 is 2133103221.

12230133120 is a `hidden beast` number, since 12 + 2 + 301 + 331 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12230133119) and next prime (12230133121).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122301331202 (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 = 12230133093 and 12230133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230133121) 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, 5223150 + ... + 5225490.

Almost surely, 212230133120 is an apocalyptic number.

12230133120 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 12230133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148400520).

12230133120 is an abundant number, since it is smaller than the sum of its proper divisors (30066667920).

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

12230133120 is a wasteful number, since it uses less digits than its factorization.

12230133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3258 counting only the distinct ones).

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

Adding to 12230133120 its reverse (2133103221), we get a palindrome (14363236341).

The spelling of 12230133120 in words is "twelve billion, two hundred thirty million, one hundred thirty-three thousand, one hundred twenty".