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12023122122 = 232112910332027
BaseRepresentation
bin10110011001010001…
…00100100011001010
31011000220121212221100
423030220210203022
5144110404401442
65305013122230
7603641565114
oct131450444312
934026555840
1012023122122
11510a814670
1223b6629376
131197b9c05b
14820b1a3b4
154a57db84c
hex2cca248ca

12023122122 has 96 divisors (see below), whose sum is σ = 29441206080. Its totient is φ = 3512597760.

The previous prime is 12023122103. The next prime is 12023122159. The reversal of 12023122122 is 22122132021.

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 = 12023122095 and 12023122104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5930473 + ... + 5932499.

It is an arithmetic number, because the mean of its divisors is an integer number (306679230).

Almost surely, 212023122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720603040).

12023122122 is an abundant number, since it is smaller than the sum of its proper divisors (17418083958).

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

12023122122 is a wasteful number, since it uses less digits than its factorization.

12023122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3105 counting only the distinct ones).

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

Adding to 12023122122 its reverse (22122132021), we get a palindrome (34145254143).

The spelling of 12023122122 in words is "twelve billion, twenty-three million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1033 1914 2027 2066 2871 3099 4054 5742 6081 6198 9297 11363 12162 18243 18594 22297 22726 29957 34089 36486 44594 58783 59914 66891 68178 89871 102267 117566 133782 176349 179742 200673 204534 269613 329527 352698 401346 529047 539226 646613 659054 988581 1058094 1293226 1939839 1977162 2093891 2965743 3879678 4187782 5819517 5931486 6281673 11639034 12563346 18845019 23032801 37690038 46065602 60722839 69098403 121445678 138196806 182168517 207295209 364337034 414590418 546505551 667951229 1093011102 1335902458 2003853687 4007707374 6011561061 12023122122