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12112210110 = 23571121337991
BaseRepresentation
bin10110100011111000…
…11010100010111110
31011021010021000200110
423101330122202332
5144301211210420
65321514410450
7606103041630
oct132174324276
934233230613
1012112210110
115156032800
122420430a26
1311b0491b40
1482c8aaa50
154ad537ee0
hex2d1f1a8be

12112210110 has 384 divisors, whose sum is σ = 40429412352. Its totient is φ = 2258150400.

The previous prime is 12112210087. The next prime is 12112210111. The reversal of 12112210110 is 1101221121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12221715 + ... + 12222705.

It is an arithmetic number, because the mean of its divisors is an integer number (105284928).

Almost surely, 212112210110 is an apocalyptic number.

12112210110 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 12112210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214706176).

12112210110 is an abundant number, since it is smaller than the sum of its proper divisors (28317202242).

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

12112210110 is a wasteful number, since it uses less digits than its factorization.

12112210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112210110 its reverse (1101221121), we get a palindrome (13213431231).

It can be divided in two parts, 12112 and 210110, that added together give a palindrome (222222).

The spelling of 12112210110 in words is "twelve billion, one hundred twelve million, two hundred ten thousand, one hundred ten".