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12122000110 = 2511176839491
BaseRepresentation
bin10110100101000011…
…10000101011101110
31011021210200102001001
423102201300223232
5144311213000420
65322504310514
7606252205123
oct132241605356
934253612031
1012122000110
11516060a110
12242377243a
1311b250bc3c
1482dcd874a
154ae31db0a
hex2d2870aee

12122000110 has 64 divisors (see below), whose sum is σ = 25242948864. Its totient is φ = 4142195200.

The previous prime is 12122000101. The next prime is 12122000129. The reversal of 12122000110 is 1100022121.

12122000110 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 (10).

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 31 ways as a sum of consecutive naturals, for example, 1272465 + ... + 1281955.

It is an arithmetic number, because the mean of its divisors is an integer number (394421076).

Almost surely, 212122000110 is an apocalyptic number.

12122000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122000110 is an abundant number, since it is smaller than the sum of its proper divisors (13120948754).

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

12122000110 is a wasteful number, since it uses less digits than its factorization.

12122000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12122000110 its reverse (1100022121), we get a palindrome (13222022231).

The spelling of 12122000110 in words is "twelve billion, one hundred twenty-two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 683 935 1366 1870 3415 6830 7513 9491 11611 15026 18982 23222 37565 47455 58055 75130 94910 104401 116110 127721 161347 208802 255442 322694 522005 638605 806735 1044010 1277210 1613470 1774817 3549634 6482353 8874085 12964706 17748170 32411765 64823530 71305883 110200001 142611766 220400002 356529415 551000005 713058830 1102000010 1212200011 2424400022 6061000055 12122000110