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12122001210 = 23511337109001
BaseRepresentation
bin10110100101000011…
…10000111100111010
31011021210200110112210
423102201300330322
5144311213014320
65322504315550
7606252211254
oct132241607472
934253613483
1012122001210
11516060aa20
122423772bb6
1311b250c5a7
1482dcd8cd4
154ae31e0e0
hex2d2870f3a

12122001210 has 64 divisors (see below), whose sum is σ = 31832072064. Its totient is φ = 2929920000.

The previous prime is 12122001169. The next prime is 12122001223. The reversal of 12122001210 is 1210022121.

12122001210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 56710 + ... + 165710.

It is an arithmetic number, because the mean of its divisors is an integer number (497376126).

Almost surely, 212122001210 is an apocalyptic number.

12122001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916036032).

12122001210 is an abundant number, since it is smaller than the sum of its proper divisors (19710070854).

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

12122001210 is a wasteful number, since it uses less digits than its factorization.

12122001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109359.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122001210 its reverse (1210022121), we get a palindrome (13332023331).

The spelling of 12122001210 in words is "twelve billion, one hundred twenty-two million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 337 674 1011 1685 2022 3370 3707 5055 7414 10110 11121 18535 22242 37070 55605 109001 111210 218002 327003 545005 654006 1090010 1199011 1635015 2398022 3270030 3597033 5995055 7194066 11990110 17985165 35970330 36733337 73466674 110200011 183666685 220400022 367333370 404066707 551000055 808133414 1102000110 1212200121 2020333535 2424400242 4040667070 6061000605 12122001210