Search a number
-
+
12123331236 = 223620392
BaseRepresentation
bin10110100101001101…
…10101101010100100
31011021220012001000000
423102212311222210
5144312033044421
65322553021300
7606266421012
oct132246655244
934256161000
1012123331236
115161339215
1224240b4830
1311b2886aa3
148301638b2
154ae4d3226
hex2d29b5aa4

12123331236 has 63 divisors (see below), whose sum is σ = 31824801211. Its totient is φ = 4039128504.

The previous prime is 12123331223. The next prime is 12123331267. The reversal of 12123331236 is 63213332121.

The square root of 12123331236 is 110106.

It is a perfect power (a square), and thus also a powerful number.

12123331236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 5944705 + ... + 5946743.

Almost surely, 212123331236 is an apocalyptic number.

12123331236 is the 110106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123331236

12123331236 is an abundant number, since it is smaller than the sum of its proper divisors (19701469975).

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

12123331236 is an frugal number, since it uses more digits than its factorization.

12123331236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 2044 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 12123331236 its reverse (63213332121), we get a palindrome (75336663357).

The spelling of 12123331236 in words is "twelve billion, one hundred twenty-three million, three hundred thirty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2039 2916 4078 6117 8156 12234 18351 24468 36702 55053 73404 110106 165159 220212 330318 495477 660636 990954 1486431 1981908 2972862 4157521 5945724 8315042 12472563 16630084 24945126 37417689 49890252 74835378 112253067 149670756 224506134 336759201 449012268 673518402 1010277603 1347036804 2020555206 3030832809 4041110412 6061665618 12123331236