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12212111220 = 22353712914261
BaseRepresentation
bin10110101111110011…
…00000011101110100
31011112002020112020120
423113321200131310
5200002300024340
65335443531540
7611425142541
oct132771403564
934462215216
1012212111220
1151a7466a01
122449989bb0
1311c809c61a
1483bc73bc8
154b71bd4d0
hex2d7e60774

12212111220 has 96 divisors (see below), whose sum is σ = 35153521536. Its totient is φ = 3165350400.

The previous prime is 12212111209. The next prime is 12212111221. The reversal of 12212111220 is 2211121221.

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 12212111220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212111221) 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 31 ways as a sum of consecutive naturals, for example, 2863890 + ... + 2868150.

It is an arithmetic number, because the mean of its divisors is an integer number (366182516).

Almost surely, 212212111220 is an apocalyptic number.

12212111220 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 12212111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17576760768).

12212111220 is an abundant number, since it is smaller than the sum of its proper divisors (22941410316).

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

12212111220 is a wasteful number, since it uses less digits than its factorization.

12212111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5599 counting only the distinct ones).

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

Adding to 12212111220 its reverse (2211121221), we get a palindrome (14423232441).

The spelling of 12212111220 in words is "twelve billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1291 2220 2582 3873 4261 5164 6455 7746 8522 12783 12910 15492 17044 19365 21305 25566 25820 38730 42610 47767 51132 63915 77460 85220 95534 127830 143301 157657 191068 238835 255660 286602 315314 472971 477670 573204 630628 716505 788285 945942 955340 1433010 1576570 1891884 2364855 2866020 3153140 4729710 5500951 9459420 11001902 16502853 22003804 27504755 33005706 55009510 66011412 82514265 110019020 165028530 203535187 330057060 407070374 610605561 814140748 1017675935 1221211122 2035351870 2442422244 3053027805 4070703740 6106055610 12212111220