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12112221210 = 2353782113291
BaseRepresentation
bin10110100011111000…
…11101010000011010
31011021010021120220120
423101330131100122
5144301212034320
65321514534110
7606103116165
oct132174352032
934233246816
1012112221210
115156040081
122420437336
1311b0496bcb
1482c8b0adc
154ad53b440
hex2d1f1d41a

12112221210 has 64 divisors (see below), whose sum is σ = 29893601664. Its totient is φ = 3138566400.

The previous prime is 12112221193. The next prime is 12112221211. The reversal of 12112221210 is 1212221121.

12112221210 is digitally balanced in base 2 and base 5, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112221210.

It is not an unprimeable number, because it can be changed into a prime (12112221211) 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, 904665 + ... + 917955.

It is an arithmetic number, because the mean of its divisors is an integer number (467087526).

Almost surely, 212112221210 is an apocalyptic number.

12112221210 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 12112221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946800832).

12112221210 is an abundant number, since it is smaller than the sum of its proper divisors (17781380454).

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

12112221210 is a wasteful number, since it uses less digits than its factorization.

12112221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159.

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

Adding to 12112221210 its reverse (1212221121), we get a palindrome (13324442331).

The spelling of 12112221210 in words is "twelve billion, one hundred twelve million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 821 1110 1642 2463 4105 4926 8210 12315 13291 24630 26582 30377 39873 60754 66455 79746 91131 132910 151885 182262 199365 303770 398730 455655 491767 911310 983534 1475301 2458835 2950602 4917670 7376505 10911911 14753010 21823822 32735733 54559555 65471466 109119110 163678665 327357330 403740707 807481414 1211222121 2018703535 2422444242 4037407070 6056110605 12112221210