Search a number
-
+
12123211332 = 2238297121763
BaseRepresentation
bin10110100101001100…
…11000011001000100
31011021212221221112010
423102212120121010
5144312020230312
65322550254220
7606265411311
oct132246303104
934255857463
1012123211332
115161267121
122424057370
1311b284433b
14830131d08
154ae4ac93c
hex2d2998644

12123211332 has 24 divisors (see below), whose sum is σ = 28291134816. Its totient is φ = 4040550208.

The previous prime is 12123211327. The next prime is 12123211333. The reversal of 12123211332 is 23311232121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12123211299 and 12123211308.

It is not an unprimeable number, because it can be changed into a prime (12123211333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38683 + ... + 160445.

It is an arithmetic number, because the mean of its divisors is an integer number (1178797284).

Almost surely, 212123211332 is an apocalyptic number.

12123211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123211332 is an abundant number, since it is smaller than the sum of its proper divisors (16167923484).

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

12123211332 is a wasteful number, since it uses less digits than its factorization.

12123211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130067 (or 130065 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12123211332 its reverse (23311232121), we get a palindrome (35434443453).

The spelling of 12123211332 in words is "twelve billion, one hundred twenty-three million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 8297 16594 24891 33188 49782 99564 121763 243526 365289 487052 730578 1461156 1010267611 2020535222 3030802833 4041070444 6061605666 12123211332