Search a number
-
+
2120220122120 = 235612513461923
BaseRepresentation
bin11110110110100110111…
…101111001110000001000
321111200122210012211020122
4132312212331321300020
5234214202322401440
64302003215242412
7306116013452642
oct36664675716010
97450583184218
102120220122120
117481a8a91a11
122a2ab5519408
13124c2222c8c9
1474895135892
153a2424647b5
hex1eda6f79c08

2120220122120 has 64 divisors (see below), whose sum is σ = 4868019051840. Its totient is φ = 830861280000.

The previous prime is 2120220122113. The next prime is 2120220122131. The reversal of 2120220122120 is 212210220212.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1118522 + ... + 2343401.

It is an arithmetic number, because the mean of its divisors is an integer number (76062797685).

Almost surely, 22120220122120 is an apocalyptic number.

2120220122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120220122120 is an abundant number, since it is smaller than the sum of its proper divisors (2747798929720).

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

2120220122120 is a wasteful number, since it uses less digits than its factorization.

2120220122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462246 (or 3462242 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2120220122120 its reverse (212210220212), we get a palindrome (2332430342332).

The spelling of 2120220122120 in words is "two trillion, one hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 251 305 488 502 610 1004 1220 1255 2008 2440 2510 5020 10040 15311 30622 61244 76555 122488 153110 306220 612440 3461923 6923846 13847692 17309615 27695384 34619230 69238460 138476920 211177303 422354606 844709212 868942673 1055886515 1689418424 1737885346 2111773030 3475770692 4223546060 4344713365 6951541384 8447092120 8689426730 17378853460 34757706920 53005503053 106011006106 212022012212 265027515265 424044024424 530055030530 1060110061060 2120220122120