Search a number
-
+
12123211230 = 23251331794231
BaseRepresentation
bin10110100101001100…
…11000010111011110
31011021212221221101100
423102212120113132
5144312020224410
65322550253530
7606265411104
oct132246302736
934255857340
1012123211230
115161267039
1224240572a6
1311b2844290
14830131c74
154ae4ac8c0
hex2d29985de

12123211230 has 192 divisors, whose sum is σ = 35491921920. Its totient is φ = 2850681600.

The previous prime is 12123211169. The next prime is 12123211249. The reversal of 12123211230 is 3211232121.

It is a super-2 number, since 2×121232112302 (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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2863215 + ... + 2867445.

It is an arithmetic number, because the mean of its divisors is an integer number (184853760).

Almost surely, 212123211230 is an apocalyptic number.

12123211230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17745960960).

12123211230 is an abundant number, since it is smaller than the sum of its proper divisors (23368710690).

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

12123211230 is a wasteful number, since it uses less digits than its factorization.

12123211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123211230 its reverse (3211232121), we get a palindrome (15334443351).

The spelling of 12123211230 in words is "twelve billion, one hundred twenty-three million, two hundred eleven thousand, two hundred thirty".