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12310222122 = 23211293757943
BaseRepresentation
bin10110111011011111…
…10001010100101010
31011202220212002002200
423131233301110222
5200202404101442
65353310441030
7614026106262
oct133557612452
934686762080
1012310222122
1152478880a0
122476803176
131212501303
1484acd27a2
154c0aed34c
hex2ddbf152a

12310222122 has 96 divisors (see below), whose sum is σ = 30914282880. Its totient is φ = 3504332160.

The previous prime is 12310222097. The next prime is 12310222123. The reversal of 12310222122 is 22122201321.

12310222122 is a `hidden beast` number, since 12 + 310 + 222 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12310222095 and 12310222104.

It is not an unprimeable number, because it can be changed into a prime (12310222123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183483 + ... + 241425.

It is an arithmetic number, because the mean of its divisors is an integer number (322023780).

Almost surely, 212310222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457141440).

12310222122 is an abundant number, since it is smaller than the sum of its proper divisors (18604060758).

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

12310222122 is a wasteful number, since it uses less digits than its factorization.

12310222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58028 (or 58025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12310222122 its reverse (22122201321), we get a palindrome (34432423443).

It can be divided in two parts, 12310 and 222122, that added together give a palindrome (234432).

The spelling of 12310222122 in words is "twelve billion, three hundred ten million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 37 58 66 74 87 99 111 174 198 222 261 319 333 407 522 638 666 814 957 1073 1221 1914 2146 2442 2871 3219 3663 5742 6438 7326 9657 11803 19314 23606 35409 57943 70818 106227 115886 173829 212454 347658 521487 637373 1042974 1274746 1680347 1912119 2143891 3360694 3824238 4287782 5041041 5736357 6431673 10082082 11472714 12863346 15123123 18483817 19295019 23582801 30246246 36967634 38590038 47165602 55451451 62172839 70748403 110902902 124345678 141496806 166354353 186518517 212245209 332708706 373037034 424490418 559555551 683901229 1119111102 1367802458 2051703687 4103407374 6155111061 12310222122