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12122122023 = 3211711724587
BaseRepresentation
bin10110100101000100…
…01110011100100111
31011021210220121021100
423102202032130213
5144311230401043
65322511051143
7606253223424
oct132242163447
934253817240
1012122122023
115160692770
122423810ab3
1311b255258b
1482dd2ad4b
154ae344cd3
hex2d288e727

12122122023 has 24 divisors (see below), whose sum is σ = 19370572416. Its totient is φ = 7243261200.

The previous prime is 12122121989. The next prime is 12122122049. The reversal of 12122122023 is 32022122121.

12122122023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122122023 - 29 = 12122121511 is a prime.

It is a super-2 number, since 2×121221220232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122121987 and 12122122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122122223) 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 23 ways as a sum of consecutive naturals, for example, 855265 + ... + 869322.

It is an arithmetic number, because the mean of its divisors is an integer number (807107184).

Almost surely, 212122122023 is an apocalyptic number.

12122122023 is a deficient number, since it is larger than the sum of its proper divisors (7248450393).

12122122023 is a wasteful number, since it uses less digits than its factorization.

12122122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724675 (or 1724672 counting only the distinct ones).

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

Adding to 12122122023 its reverse (32022122121), we get a palindrome (44144244144).

The spelling of 12122122023 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 1724587 5173761 15521283 18970457 56911371 122445677 170734113 367337031 1102011093 1346902447 4040707341 12122122023