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12112221320 = 2357317323977
BaseRepresentation
bin10110100011111000…
…11101010010001000
31011021010021121001122
423101330131102020
5144301212040240
65321514534412
7606103116413
oct132174352210
934233247048
1012112221320
115156040171
122420437408
1311b0496c84
1482c8b0b7a
154ad53b4b5
hex2d1f1d488

12112221320 has 64 divisors (see below), whose sum is σ = 27786665520. Its totient is φ = 4750700544.

The previous prime is 12112221313. The next prime is 12112221349. The reversal of 12112221320 is 2312221121.

It can be written as a sum of positive squares in 8 ways, for example, as 8071584964 + 4040636356 = 89842^2 + 63566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493172 + ... + 517148.

Almost surely, 212112221320 is an apocalyptic number.

12112221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893332760).

12112221320 is an abundant number, since it is smaller than the sum of its proper divisors (15674444200).

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

12112221320 is a wasteful number, since it uses less digits than its factorization.

12112221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24234 (or 24230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12112221320 its reverse (2312221121), we get a palindrome (14424442441).

The spelling of 12112221320 in words is "twelve billion, one hundred twelve million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 173 292 346 365 584 692 730 865 1384 1460 1730 2920 3460 6920 12629 23977 25258 47954 50516 63145 95908 101032 119885 126290 191816 239770 252580 479540 505160 959080 1750321 3500642 4148021 7001284 8296042 8751605 14002568 16592084 17503210 20740105 33184168 35006420 41480210 70012840 82960420 165920840 302805533 605611066 1211222132 1514027665 2422444264 3028055330 6056110660 12112221320