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120012200220 = 2235111731051079
BaseRepresentation
bin110111111000101001…
…0001101100100011100
3102110202212010110001110
41233301102031210130
53431241110401340
6131044405542020
711446004604363
oct1576122154434
9373685113043
10120012200220
1146995838350
121b313a14910
13b417899533
145b46c007da
1531c60b5680
hex1bf148d91c

120012200220 has 96 divisors (see below), whose sum is σ = 368702046720. Its totient is φ = 28925666560.

The previous prime is 120012200219. The next prime is 120012200263. The reversal of 120012200220 is 22002210021.

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 = 120012200196 and 120012200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411360 + ... + 639719.

It is an arithmetic number, because the mean of its divisors is an integer number (3840646320).

Almost surely, 2120012200220 is an apocalyptic number.

120012200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120012200220 is an abundant number, since it is smaller than the sum of its proper divisors (248689846500).

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

120012200220 is a wasteful number, since it uses less digits than its factorization.

120012200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051275 (or 1051273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120012200220 its reverse (22002210021), we get a palindrome (142014410241).

The spelling of 120012200220 in words is "one hundred twenty billion, twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 22836 28545 38060 57090 114180 1051079 2102158 3153237 4204316 5255395 6306474 10510790 11561869 12612948 15766185 21021580 23123738 31532370 34685607 46247476 57809345 63064740 69371214 115618690 138742428 173428035 181836667 231237380 346856070 363673334 545510001 693712140 727346668 909183335 1091020002 1818366670 2000203337 2182040004 2727550005 3636733340 4000406674 5455100010 6000610011 8000813348 10001016685 10910200020 12001220022 20002033370 24002440044 30003050055 40004066740 60006100110 120012200220