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12122313432 = 23329139125303
BaseRepresentation
bin10110100101000101…
…11101001011011000
31011021211021022211120
423102202331023120
5144311303012212
65322515125240
7606254651445
oct132242751330
934254238746
1012122313432
115160803559
1224238a3820
1311b25bb738
1482dd7a9cc
154ae38188c
hex2d28bd2d8

12122313432 has 64 divisors (see below), whose sum is σ = 31576608000. Its totient is φ = 3873335424.

The previous prime is 12122313431. The next prime is 12122313499. The reversal of 12122313432 is 23431322121.

12122313432 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 (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122313431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34093 + ... + 159395.

It is an arithmetic number, because the mean of its divisors is an integer number (493384500).

Almost surely, 212122313432 is an apocalyptic number.

12122313432 is a gapful number since it is divisible by the number (12) 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 12122313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788304000).

12122313432 is an abundant number, since it is smaller than the sum of its proper divisors (19454294568).

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

12122313432 is a wasteful number, since it uses less digits than its factorization.

12122313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125480 (or 125476 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 12122313432 its reverse (23431322121), we get a palindrome (35553635553).

The spelling of 12122313432 in words is "twelve billion, one hundred twenty-two million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 139 174 232 278 348 417 556 696 834 1112 1668 3336 4031 8062 12093 16124 24186 32248 48372 96744 125303 250606 375909 501212 751818 1002424 1503636 3007272 3633787 7267574 10901361 14535148 17417117 21802722 29070296 34834234 43605444 52251351 69668468 87210888 104502702 139336936 209005404 418010808 505096393 1010192786 1515289179 2020385572 3030578358 4040771144 6061156716 12122313432