Search a number
-
+
12122340822 = 2331912839209
BaseRepresentation
bin10110100101000110…
…00011110111010110
31011021211022201102000
423102203003313112
5144311304401242
65322515500130
7606255124344
oct132243036726
934254281360
1012122340822
115160822099
1224238b7646
1311b25cb047
1482dd86994
154ae389a4c
hex2d28c3dd6

12122340822 has 64 divisors (see below), whose sum is σ = 28381536000. Its totient is φ = 3824708544.

The previous prime is 12122340767. The next prime is 12122340827. The reversal of 12122340822 is 22804322121.

12122340822 is a `hidden beast` number, since 1 + 212 + 23 + 408 + 22 = 666.

It is a super-2 number, since 2×121223408222 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122340827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311754 + ... + 1320962.

It is an arithmetic number, because the mean of its divisors is an integer number (443461500).

Almost surely, 212122340822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122340822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190768000).

12122340822 is an abundant number, since it is smaller than the sum of its proper divisors (16259195178).

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

12122340822 is a wasteful number, since it uses less digits than its factorization.

12122340822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12122340822 its reverse (22804322121), we get a palindrome (34926662943).

The spelling of 12122340822 in words is "twelve billion, one hundred twenty-two million, three hundred forty thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1283 2566 3849 7698 9209 11547 18418 23094 24377 27627 34641 48754 55254 69282 73131 82881 146262 165762 174971 219393 248643 349942 438786 497286 524913 658179 1049826 1316358 1574739 3149478 4724217 9448434 11815147 23630294 35445441 70890882 106336323 212672646 224487793 319008969 448975586 638017938 673463379 1346926758 2020390137 4040780274 6061170411 12122340822