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120100211220200 = 23522937559646837
BaseRepresentation
bin11011010011101100000010…
…011011010101111011101000
3120202020110122012212110211112
4123103230002123111323220
5111220210213033021300
61103233135251045452
734203645123411041
oct3323540233257350
9522213565773745
10120100211220200
11352a4239256162
12115782858a0888
13520252a921783
142192c4a1938c8
15dd41371b3e35
hex6d3b026d5ee8

120100211220200 has 96 divisors (see below), whose sum is σ = 296668788823800. Its totient is φ = 45129920855040.

The previous prime is 120100211220193. The next prime is 120100211220217. The reversal of 120100211220200 is 2022112001021.

It can be written as a sum of positive squares in 12 ways, for example, as 67385612347876 + 52714598872324 = 8208874^2 + 7260482^2 .

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, 279608819 + ... + 280038018.

Almost surely, 2120100211220200 is an apocalyptic number.

120100211220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100211220200 is an abundant number, since it is smaller than the sum of its proper divisors (176568577603600).

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

120100211220200 is a wasteful number, since it uses less digits than its factorization.

120100211220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559646919 (or 559646910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100211220200 its reverse (2022112001021), we get a palindrome (122122323221221).

The spelling of 120100211220200 in words is "one hundred twenty trillion, one hundred billion, two hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 145 148 185 200 232 290 296 370 580 725 740 925 1073 1160 1450 1480 1850 2146 2900 3700 4292 5365 5800 7400 8584 10730 21460 26825 42920 53650 107300 214600 559646837 1119293674 2238587348 2798234185 4477174696 5596468370 11192936740 13991170925 16229758273 20706932969 22385873480 27982341850 32459516546 41413865938 55964683700 64919033092 81148791365 82827731876 103534664845 111929367400 129838066184 162297582730 165655463752 207069329690 324595165460 405743956825 414138659380 517673324225 600501056101 649190330920 811487913650 828277318760 1035346648450 1201002112202 1622975827300 2070693296900 2402004224404 3002505280505 3245951654600 4141386593800 4804008448808 6005010561010 12010021122020 15012526402525 24020042244040 30025052805050 60050105610100 120100211220200