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22021222212120 = 23351391367965777
BaseRepresentation
bin1010000000111001101110…
…01000001010001000011000
32212222012121211122102201010
411000130313020022020120
510341243430341241440
6114500224304453520
74431660262243335
oct500346710121030
985865554572633
1022021222212120
1170201699349aa
122577a3a91a2a0
13c397914c3471
14561b9346598c
15282c51056580
hex14073720a218

22021222212120 has 128 divisors (see below), whose sum is σ = 66587688921600. Its totient is φ = 5825808070656.

The previous prime is 22021222212113. The next prime is 22021222212229. The reversal of 22021222212120 is 2121222212022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22318672 + ... + 23284448.

It is an arithmetic number, because the mean of its divisors is an integer number (520216319700).

Almost surely, 222021222212120 is an apocalyptic number.

22021222212120 is a gapful number since it is divisible by the number (20) 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 22021222212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33293844460800).

22021222212120 is an abundant number, since it is smaller than the sum of its proper divisors (44566466709480).

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

22021222212120 is a wasteful number, since it uses less digits than its factorization.

22021222212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967297 (or 967293 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22021222212120 its reverse (2121222212022), we get a palindrome (24142444424142).

The spelling of 22021222212120 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1367 1390 1668 2085 2734 2780 3336 4101 4170 5468 5560 6835 8202 8340 10936 13670 16404 16680 20505 27340 32808 41010 54680 82020 164040 190013 380026 570039 760052 950065 965777 1140078 1520104 1900130 1931554 2280156 2850195 2897331 3800260 3863108 4560312 4828885 5700390 5794662 7600520 7726216 9657770 11400780 11589324 14486655 19315540 22801560 23178648 28973310 38631080 57946620 115893240 134243003 268486006 402729009 536972012 671215015 805458018 1073944024 1320217159 1342430030 1610916036 2013645045 2640434318 2684860060 3221832072 3960651477 4027290090 5280868636 5369720120 6601085795 7921302954 8054580180 10561737272 13202171590 15842605908 16109160360 19803257385 26404343180 31685211816 39606514770 52808686360 79213029540 158426059080 183510185101 367020370202 550530555303 734040740404 917550925505 1101061110606 1468081480808 1835101851010 2202122221212 2752652776515 3670203702020 4404244442424 5505305553030 7340407404040 11010611106060 22021222212120