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12122102112 = 253314073287
BaseRepresentation
bin10110100101000100…
…01001100101100000
31011021210212120221220
423102202021211200
5144311224231422
65322510415040
7606253111401
oct132242114540
934253776856
1012122102112
11516067980a
122423801480
1311b25464b3
1482dd239a8
154ae33de5c
hex2d2889960

12122102112 has 48 divisors (see below), whose sum is σ = 32846994432. Its totient is φ = 3910354560.

The previous prime is 12122102077. The next prime is 12122102147. The reversal of 12122102112 is 21120122121.

It is an interprime number because it is at equal distance from previous prime (12122102077) and next prime (12122102147).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×121221021122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122102091 and 12122102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2033668 + ... + 2039619.

It is an arithmetic number, because the mean of its divisors is an integer number (684312384).

Almost surely, 212122102112 is an apocalyptic number.

12122102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122102112 is an abundant number, since it is smaller than the sum of its proper divisors (20724892320).

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

12122102112 is a wasteful number, since it uses less digits than its factorization.

12122102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073331 (or 4073323 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122102112 its reverse (21120122121), we get a palindrome (33242224233).

The spelling of 12122102112 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4073287 8146574 12219861 16293148 24439722 32586296 48879444 65172592 97758888 126271897 130345184 195517776 252543794 378815691 391035552 505087588 757631382 1010175176 1515262764 2020350352 3030525528 4040700704 6061051056 12122102112