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12122010342 = 2331317267821
BaseRepresentation
bin10110100101000011…
…10011001011100110
31011021210200221002000
423102201303023212
5144311213312332
65322504430130
7606252250011
oct132241631346
934253627060
1012122010342
115160616872
122423778346
1311b25137b0
1482dcdc378
154ae321b7c
hex2d28732e6

12122010342 has 32 divisors (see below), whose sum is σ = 29009940960. Its totient is φ = 3729849120.

The previous prime is 12122010319. The next prime is 12122010371. The reversal of 12122010342 is 24301022121.

It is a happy number.

12122010342 is a `hidden beast` number, since 121 + 2 + 201 + 0 + 342 = 666.

12122010342 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 (18).

It is a congruent number.

It is an unprimeable number.

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, 8633209 + ... + 8634612.

It is an arithmetic number, because the mean of its divisors is an integer number (906560655).

Almost surely, 212122010342 is an apocalyptic number.

12122010342 is an abundant number, since it is smaller than the sum of its proper divisors (16887930618).

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

12122010342 is a wasteful number, since it uses less digits than its factorization.

12122010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17267845 (or 17267839 counting only the distinct ones).

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

Adding to 12122010342 its reverse (24301022121), we get a palindrome (36423032463).

The spelling of 12122010342 in words is "twelve billion, one hundred twenty-two million, ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 17267821 34535642 51803463 103606926 155410389 224481673 310820778 448963346 466231167 673445019 932462334 1346890038 2020335057 4040670114 6061005171 12122010342