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12212012220 = 22351776915569
BaseRepresentation
bin10110101111110010…
…01000010010111100
31011112002001111102220
423113321020102330
5200002233342340
65335441445340
7611424251112
oct132771102274
934462044386
1012212012220
1151a73a9591
122449940850
1311c8066545
1483bc49ab2
154b719ded0
hex2d7e484bc

12212012220 has 96 divisors (see below), whose sum is σ = 36254433600. Its totient is φ = 3060793344.

The previous prime is 12212012179. The next prime is 12212012221. The reversal of 12212012220 is 2221021221.

It is a super-2 number, since 2×122120122202 (a number of 21 digits) contains 22 as substring.

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 12212012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776596 + ... + 792164.

It is an arithmetic number, because the mean of its divisors is an integer number (377650350).

Almost surely, 212212012220 is an apocalyptic number.

12212012220 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 12212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127216800).

12212012220 is an abundant number, since it is smaller than the sum of its proper divisors (24042421380).

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

12212012220 is a wasteful number, since it uses less digits than its factorization.

12212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16367 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212012220 its reverse (2221021221), we get a palindrome (14433033441).

Subtracting from 12212012220 its reverse (2221021221), we obtain a palindrome (9990990999).

The spelling of 12212012220 in words is "twelve billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 769 1020 1538 2307 3076 3845 4614 7690 9228 11535 13073 15380 15569 23070 26146 31138 39219 46140 46707 52292 62276 65365 77845 78438 93414 130730 155690 156876 186828 196095 233535 261460 264673 311380 392190 467070 529346 784380 794019 934140 1058692 1323365 1588038 2646730 3176076 3970095 5293460 7940190 11972561 15880380 23945122 35917683 47890244 59862805 71835366 119725610 143670732 179588415 203533537 239451220 359176830 407067074 610600611 718353660 814134148 1017667685 1221201222 2035335370 2442402444 3053003055 4070670740 6106006110 12212012220