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22212121001220 = 22325125998014831
BaseRepresentation
bin1010000110011101010011…
…00101001111110100000100
32220122110100220101200221100
411003032221211033310010
510402410410434014340
6115124035120220100
74451526031211643
oct503165145176404
986573326350840
1022212121001220
1170941202666a7
1225a8a3646a630
13c517950b6637
1456b10290735a
15287bc54aa830
hex1433a994fd04

22212121001220 has 72 divisors (see below), whose sum is σ = 67430283822720. Its totient is φ = 5918527494720.

The previous prime is 22212121001209. The next prime is 22212121001227. The reversal of 22212121001220 is 2210012121222.

It is a happy number.

22212121001220 is a `hidden beast` number, since 2 + 221 + 212 + 10 + 0 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22212121001193 and 22212121001202.

It is not an unprimeable number, because it can be changed into a prime (22212121001227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48780796 + ... + 49234035.

It is an arithmetic number, because the mean of its divisors is an integer number (936531719760).

Almost surely, 222212121001220 is an apocalyptic number.

22212121001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212121001220 is an abundant number, since it is smaller than the sum of its proper divisors (45218162821500).

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

22212121001220 is a wasteful number, since it uses less digits than its factorization.

22212121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98016105 (or 98016100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212121001220 its reverse (2210012121222), we get a palindrome (24422133122442).

The spelling of 22212121001220 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1259 2518 3777 5036 6295 7554 11331 12590 15108 18885 22662 25180 37770 45324 56655 75540 113310 226620 98014831 196029662 294044493 392059324 490074155 588088986 882133479 980148310 1176177972 1470222465 1764266958 1960296620 2940444930 3528533916 4410667395 5880889860 8821334790 17642669580 123400672229 246801344458 370202016687 493602688916 617003361145 740404033374 1110606050061 1234006722290 1480808066748 1851010083435 2221212100122 2468013444580 3702020166870 4442424200244 5553030250305 7404040333740 11106060500610 22212121001220