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12221201010 = 2353722948079
BaseRepresentation
bin10110110000111000…
…01011101001110010
31011112201100100002110
423120130023221302
5200012111413020
65340410430150
7611565331434
oct133034135162
934481310073
1012221201010
115201605227
122450a32356
1311c9c32ab5
1483d15c654
154b7db68e0
hex2d870ba72

12221201010 has 64 divisors (see below), whose sum is σ = 30255782400. Its totient is φ = 3156993792.

The previous prime is 12221200997. The next prime is 12221201017. The reversal of 12221201010 is 1010212221.

12221201010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12221201017) by changing a digit.

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, 230151 + ... + 278229.

It is an arithmetic number, because the mean of its divisors is an integer number (472746600).

Almost surely, 212221201010 is an apocalyptic number.

12221201010 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 12221201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127891200).

12221201010 is an abundant number, since it is smaller than the sum of its proper divisors (18034581390).

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

12221201010 is a wasteful number, since it uses less digits than its factorization.

12221201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48355.

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

Adding to 12221201010 its reverse (1010212221), we get a palindrome (13231413231).

The spelling of 12221201010 in words is "twelve billion, two hundred twenty-one million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 229 370 458 555 687 1110 1145 1374 2290 3435 6870 8473 16946 25419 42365 48079 50838 84730 96158 127095 144237 240395 254190 288474 480790 721185 1442370 1778923 3557846 5336769 8894615 10673538 11010091 17789230 22020182 26683845 33030273 53367690 55050455 66060546 110100910 165151365 330302730 407373367 814746734 1222120101 2036866835 2444240202 4073733670 6110600505 12221201010