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120210222001220 = 225133116211239357
BaseRepresentation
bin11011010101010010011111…
…100101001010110001000100
3120202121222121001120011222122
4123111102133211022301010
5111224011013313014340
61103355451423545112
734214621235543041
oct3325223745126104
9522558531504878
10120210222001220
113533696149a1aa
121159566815b198
13520ca10424880
1421982c49821c8
15dd6e251dadb5
hex6d549f94ac44

120210222001220 has 96 divisors (see below), whose sum is σ = 272779239672576. Its totient is φ = 44235286617600.

The previous prime is 120210222001151. The next prime is 120210222001237. The reversal of 120210222001220 is 22100222012021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502101782 + ... + 502341138.

It is an arithmetic number, because the mean of its divisors is an integer number (2841450413256).

Almost surely, 2120210222001220 is an apocalyptic number.

120210222001220 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 120210222001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136389619836288).

120210222001220 is an abundant number, since it is smaller than the sum of its proper divisors (152569017671356).

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

120210222001220 is a wasteful number, since it uses less digits than its factorization.

120210222001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245901 (or 245899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120210222001220 its reverse (22100222012021), we get a palindrome (142310444013241).

The spelling of 120210222001220 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 622 1244 1555 3110 4043 6211 6220 8086 12422 16172 20215 24844 31055 40430 62110 80743 80860 124220 161486 239357 322972 403715 478714 807430 957428 1196785 1614860 1931621 2393570 3111641 3863242 4787140 6223282 7726484 9658105 12446564 15558205 19316210 25111073 31116410 38632420 50222146 62232820 74440027 100444292 125555365 148880054 251110730 297760108 372200135 502221460 744400270 967720351 1486646327 1488800540 1935440702 2973292654 3870881404 4838601755 5946585308 7433231635 9677203510 14866463270 19326402251 19354407020 29732926540 38652804502 77305609004 96632011255 193264022510 386528045020 462347007697 924694015394 1849388030788 2311735038485 4623470076970 6010511100061 9246940153940 12021022200122 24042044400244 30052555500305 60105111000610 120210222001220