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122210010120 = 233511293192529
BaseRepresentation
bin111000111010001001…
…0001100010000001000
3102200110000200202110010
41301310102030100020
54000241230310440
6132050440351520
711554322642412
oct1616422142010
9380400622403
10122210010120
1147913401470
121b827a755a0
13b6a8012073
145cb4a6b9b2
1532a3eed580
hex1c7448c408

122210010120 has 128 divisors (see below), whose sum is σ = 413751888000. Its totient is φ = 28605050880.

The previous prime is 122210010119. The next prime is 122210010133. The reversal of 122210010120 is 21010012221.

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 = 122210010096 and 122210010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557985 + ... + 1634544.

It is an arithmetic number, because the mean of its divisors is an integer number (3232436625).

Almost surely, 2122210010120 is an apocalyptic number.

122210010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210010120 is an abundant number, since it is smaller than the sum of its proper divisors (291541877880).

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

122210010120 is a wasteful number, since it uses less digits than its factorization.

122210010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192583 (or 3192579 counting only the distinct ones).

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

Adding to 122210010120 its reverse (21010012221), we get a palindrome (143220022341).

The spelling of 122210010120 in words is "one hundred twenty-two billion, two hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 3192529 6385058 9577587 12770116 15962645 19155174 25540232 31925290 35117819 38310348 47887935 63850580 70235638 76620696 92583341 95775870 105353457 127701160 140471276 175589095 185166682 191551740 210706914 277750023 280942552 351178190 370333364 383103480 421413828 462916705 526767285 555500046 702356380 740666728 842827656 925833410 1018416751 1053534570 1111000092 1388750115 1404712760 1851666820 2036833502 2107069140 2222000184 2777500230 3055250253 3703333640 4073667004 4214138280 5092083755 5555000460 6110500506 8147334008 10184167510 11110000920 12221001012 15276251265 20368335020 24442002024 30552502530 40736670040 61105005060 122210010120