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120010100012220 = 223511463392728909
BaseRepresentation
bin11011010010011000000111…
…011000010111010010111100
3120201220212001012201211001010
4123102120013120113102330
5111212221141100342340
61103123513455115220
734164305103652005
oct3322300730272274
9521825035654033
10120010100012220
1135269aa7888950
1211562917812b10
1351c6b99a63372
14218c73c5c81ac
15dd1b111bbb80
hex6d26076174bc

120010100012220 has 96 divisors (see below), whose sum is σ = 367368047907840. Its totient is φ = 29030520879360.

The previous prime is 120010100012197. The next prime is 120010100012221. The reversal of 120010100012220 is 22210001010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120010100012196 and 120010100012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010100012221) by changing a digit.

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, 196058875 + ... + 196670034.

It is an arithmetic number, because the mean of its divisors is an integer number (3826750499040).

Almost surely, 2120010100012220 is an apocalyptic number.

120010100012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010100012220 is an abundant number, since it is smaller than the sum of its proper divisors (247357947895620).

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

120010100012220 is a wasteful number, since it uses less digits than its factorization.

120010100012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392729395 (or 392729393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120010100012220 its reverse (22210001010021), we get a palindrome (142220101022241).

The spelling of 120010100012220 in words is "one hundred twenty trillion, ten billion, one hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 463 660 926 1389 1852 2315 2778 4630 5093 5556 6945 9260 10186 13890 15279 20372 25465 27780 30558 50930 61116 76395 101860 152790 305580 392728909 785457818 1178186727 1570915636 1963644545 2356373454 3927289090 4320017999 4712746908 5890933635 7854578180 8640035998 11781867270 12960053997 17280071996 21600089995 23563734540 25920107994 43200179990 51840215988 64800269985 86400359980 129600539970 181833484867 259201079940 363666969734 545500454601 727333939468 909167424335 1091000909202 1818334848670 2000168333537 2182001818404 2727502273005 3636669697340 4000336667074 5455004546010 6000505000611 8000673334148 10000841667685 10910009092020 12001010001222 20001683335370 24002020002444 30002525003055 40003366670740 60005050006110 120010100012220