Search a number
-
+
12122221101210 = 23251137330936967
BaseRepresentation
bin1011000001100110110010…
…1011101100000010011010
31120220212120102122100100200
42300121230223230002122
53042102302100214320
641440512124243030
72360541640150443
oct260315453540232
946825512570320
1012122221101210
113954006871160
12143944b3a0476
1369c174ab600c
142dca0bcd62ca
151604d7db0290
hexb066caec09a

12122221101210 has 96 divisors (see below), whose sum is σ = 35312298233472. Its totient is φ = 2859295386240.

The previous prime is 12122221101181. The next prime is 12122221101229. The reversal of 12122221101210 is 1210112222121.

12122221101210 is a `hidden beast` number, since 1 + 21 + 222 + 211 + 0 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165431854 + ... + 165505113.

It is an arithmetic number, because the mean of its divisors is an integer number (367836439932).

Almost surely, 212122221101210 is an apocalyptic number.

12122221101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122221101210 is an abundant number, since it is smaller than the sum of its proper divisors (23190077132262).

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

12122221101210 is a wasteful number, since it uses less digits than its factorization.

12122221101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330937028 (or 330937025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122221101210 its reverse (1210112222121), we get a palindrome (13332333323331).

The spelling of 12122221101210 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 330936967 661873934 992810901 1654684835 1985621802 2978432703 3309369670 3640306637 4964054505 5956865406 7280613274 9928109010 10920919911 12244667779 14892163515 18201533185 21841839822 24489335558 29784327030 32762759733 36403066370 36734003337 54604599555 61223338895 65525519466 73468006674 109209199110 110202010011 122446677790 134691345569 163813798665 183670016685 220404020022 269382691138 327627597330 367340033370 404074036707 551010050055 673456727845 808148073414 1102020100110 1212222110121 1346913455690 2020370183535 2424444220242 4040740367070 6061110550605 12122221101210