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12101222112 = 253718007771
BaseRepresentation
bin10110100010100100…
…11111111011100000
31011020100120202222120
423101102133323200
5144240403101422
65320443104240
7605610455640
oct132122377340
934210522876
1012101222112
11514a908311
122418812080
1311ab115675
1482b24a520
154ac5b745c
hex2d149fee0

12101222112 has 48 divisors (see below), whose sum is σ = 36303668352. Its totient is φ = 3457491840.

The previous prime is 12101222101. The next prime is 12101222123. The reversal of 12101222112 is 21122210121.

It is an interprime number because it is at equal distance from previous prime (12101222101) and next prime (12101222123).

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

It is a junction number, because it is equal to n+sod(n) for n = 12101222091 and 12101222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9003214 + ... + 9004557.

It is an arithmetic number, because the mean of its divisors is an integer number (756326424).

Almost surely, 212101222112 is an apocalyptic number.

12101222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101222112 is an abundant number, since it is smaller than the sum of its proper divisors (24202446240).

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

12101222112 is a wasteful number, since it uses less digits than its factorization.

12101222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18007791 (or 18007783 counting only the distinct ones).

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

Adding to 12101222112 its reverse (21122210121), we get a palindrome (33223432233).

The spelling of 12101222112 in words is "twelve billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18007771 36015542 54023313 72031084 108046626 126054397 144062168 216093252 252108794 288124336 378163191 432186504 504217588 576248672 756326382 864373008 1008435176 1512652764 1728746016 2016870352 3025305528 4033740704 6050611056 12101222112