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2120332122120 = 2335194612017289
BaseRepresentation
bin11110110110101101101…
…001001001100000001000
321111200221120222000100210
4132312231221021200020
5234214420010401440
64302022300001120
7306121543444362
oct36665551114010
97450846860323
102120332122120
1174825622a1a3
122a2b26b301a0
13124c3c4b53b4
14748a5d6bd32
153a24c1d9a80
hex1edada49808

2120332122120 has 128 divisors (see below), whose sum is σ = 6710313456000. Its totient is φ = 534500628480.

The previous prime is 2120332122107. The next prime is 2120332122169. The reversal of 2120332122120 is 212212330212.

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, 42436 + ... + 2059724.

It is an arithmetic number, because the mean of its divisors is an integer number (52424323875).

Almost surely, 22120332122120 is an apocalyptic number.

2120332122120 is a gapful number since it is divisible by the number (20) 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 2120332122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355156728000).

2120332122120 is an abundant number, since it is smaller than the sum of its proper divisors (4589981333880).

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

2120332122120 is a wasteful number, since it uses less digits than its factorization.

2120332122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017783 (or 2017779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2120332122120 its reverse (212212330212), we get a palindrome (2332544452332).

The spelling of 2120332122120 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 461 570 760 922 1140 1383 1844 2280 2305 2766 3688 4610 5532 6915 8759 9220 11064 13830 17518 18440 26277 27660 35036 43795 52554 55320 70072 87590 105108 131385 175180 210216 262770 350360 525540 1051080 2017289 4034578 6051867 8069156 10086445 12103734 16138312 20172890 24207468 30259335 38328491 40345780 48414936 60518670 76656982 80691560 114985473 121037340 153313964 191642455 229970946 242074680 306627928 383284910 459941892 574927365 766569820 919883784 929970229 1149854730 1533139640 1859940458 2299709460 2789910687 3719880916 4599418920 4649851145 5579821374 7439761832 9299702290 11159642748 13949553435 17669434351 18599404580 22319285496 27899106870 35338868702 37198809160 53008303053 55798213740 70677737404 88347171755 106016606106 111596427480 141355474808 176694343510 212033212212 265041515265 353388687020 424066424424 530083030530 706777374040 1060166061060 2120332122120