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120101220212200 = 235210114939903389
BaseRepresentation
bin11011010011101100111110…
…100100010101110111101000
3120202020120020112110120122121
4123103230332210111313220
5111220214244333242300
61103233423333201024
734204012124612503
oct3323547644256750
9522216215416577
10120101220212200
11352a4706860847
1211578507790174
13520265b989766
142192d041a213a
15dd4195a6e81a
hex6d3b3e915de8

120101220212200 has 96 divisors (see below), whose sum is σ = 283892668155000. Its totient is φ = 47245611392000.

The previous prime is 120101220212191. The next prime is 120101220212257. The reversal of 120101220212200 is 2212022101021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 35282388250404 + 84818831961796 = 5939898^2 + 9209714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16941895 + ... + 22961494.

Almost surely, 2120101220212200 is an apocalyptic number.

120101220212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101220212200 is an abundant number, since it is smaller than the sum of its proper divisors (163791447942800).

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

120101220212200 is a wasteful number, since it uses less digits than its factorization.

120101220212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39903655 (or 39903646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120101220212200 its reverse (2212022101021), we get a palindrome (122313242313221).

The spelling of 120101220212200 in words is "one hundred twenty trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 149 200 202 298 404 505 596 745 808 1010 1192 1490 2020 2525 2980 3725 4040 5050 5960 7450 10100 14900 15049 20200 29800 30098 60196 75245 120392 150490 300980 376225 601960 752450 1504900 3009800 39903389 79806778 159613556 199516945 319227112 399033890 798067780 997584725 1596135560 1995169450 3990338900 4030242289 5945604961 7980677800 8060484578 11891209922 16120969156 20151211445 23782419844 29728024805 32241938312 40302422890 47564839688 59456049610 80604845780 100756057225 118912099220 148640124025 161209691560 201512114450 237824198440 297280248050 403024228900 594560496100 600506101061 806048457800 1189120992200 1201012202122 2402024404244 3002530505305 4804048808488 6005061010610 12010122021220 15012652526525 24020244042440 30025305053050 60050610106100 120101220212200