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120122101220 = 225115310796281
BaseRepresentation
bin110111111011111010…
…1011100110111100100
3102111001111220222212212
41233313311130313210
53432002224214340
6131103333302552
711451511004432
oct1576765346744
9374044828785
10120122101220
1146a41881620
121b344794a58
13b434598804
145b5764bd52
1531d0a73a65
hex1bf7d5cde4

120122101220 has 96 divisors (see below), whose sum is σ = 283004378496. Its totient is φ = 42455628800.

The previous prime is 120122101217. The next prime is 120122101241. The reversal of 120122101220 is 22101221021.

It is a junction number, because it is equal to n+sod(n) for n = 120122101195 and 120122101204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199480 + ... + 1295760.

It is an arithmetic number, because the mean of its divisors is an integer number (2947962276).

Almost surely, 2120122101220 is an apocalyptic number.

120122101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141502189248).

120122101220 is an abundant number, since it is smaller than the sum of its proper divisors (162882277276).

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

120122101220 is a wasteful number, since it uses less digits than its factorization.

120122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96461 (or 96459 counting only the distinct ones).

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

Adding to 120122101220 its reverse (22101221021), we get a palindrome (142223322241).

The spelling of 120122101220 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 107 110 212 214 220 265 428 530 535 583 1060 1070 1166 1177 2140 2332 2354 2915 4708 5671 5830 5885 11342 11660 11770 22684 23540 28355 56710 62381 96281 113420 124762 192562 249524 311905 385124 481405 623810 962810 1059091 1247620 1925620 2118182 4236364 5102893 5295455 10205786 10302067 10590910 20411572 20604134 21181820 25514465 41208268 51028930 51510335 56131823 102057860 103020670 112263646 113322737 206041340 224527292 226645474 280659115 453290948 546009551 561318230 566613685 1092019102 1122636460 1133227370 2184038204 2266454740 2730047755 5460095510 6006105061 10920191020 12012210122 24024420244 30030525305 60061050610 120122101220