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2130122010120 = 2335132359367949
BaseRepresentation
bin11110111111110101001…
…010100110111000001000
321112122012212100212000020
4132333311022212320020
5234344442213310440
64310321535140440
7306616260225036
oct36776512467010
97478185325006
102130122010120
1175141a384a25
122a49b9674720
13125b3c7b7a30
1475154239556
153a6218e23d0
hex1eff52a6e08

2130122010120 has 128 divisors (see below), whose sum is σ = 7181147232000. Its totient is φ = 501540424704.

The previous prime is 2130122010109. The next prime is 2130122010127. The reversal of 2130122010120 is 210102210312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130122010120.

It is not an unprimeable number, because it can be changed into a prime (2130122010127) 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, 29648095 + ... + 29719854.

It is an arithmetic number, because the mean of its divisors is an integer number (56102712750).

Almost surely, 22130122010120 is an apocalyptic number.

2130122010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130122010120 is an abundant number, since it is smaller than the sum of its proper divisors (5051025221880).

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

2130122010120 is a wasteful number, since it uses less digits than its factorization.

2130122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59367999 (or 59367995 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2130122010120 its reverse (210102210312), we get a palindrome (2340224220432).

The spelling of 2130122010120 in words is "two trillion, one hundred thirty billion, one hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 59367949 118735898 178103847 237471796 296839745 356207694 474943592 593679490 712415388 771783337 890519235 1187358980 1365462827 1424830776 1543566674 1781038470 2315350011 2374717960 2730925654 3087133348 3562076940 3858916685 4096388481 4630700022 5461851308 6174266696 6827314135 7124153880 7717833370 8192776962 9261400044 10923702616 11576750055 13654628270 15435666740 16385553924 17751016751 18522800088 20481942405 23153500110 27309256540 30871333480 32771107848 35502033502 40963884810 46307000220 53253050253 54618513080 71004067004 81927769620 88755083755 92614000440 106506100506 142008134008 163855539240 177510167510 213012201012 266265251265 355020335020 426024402024 532530502530 710040670040 1065061005060 2130122010120