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222102120120020 = 225721531148030579
BaseRepresentation
bin110010100000000000101101…
…111110010011111011010100
31002010101202101121222000100122
4302200000231332103323110
5213102410120222320040
62104212145545131112
764532230404466100
oct6240005576237324
91063352347860318
10222102120120020
116484aa86687878
1220ab0a66789a98
1396c11a892a4aa
143cbbb2b198900
151aa25bc32b1b5
hexca002df93ed4

222102120120020 has 72 divisors (see below), whose sum is σ = 542918139452640. Its totient is φ = 76099559538240.

The previous prime is 222102120120019. The next prime is 222102120120043. The reversal of 222102120120020 is 20021021201222.

It is a happy number.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 72514910 + ... + 75515669.

It is an arithmetic number, because the mean of its divisors is an integer number (7540529714620).

Almost surely, 2222102120120020 is an apocalyptic number.

222102120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102120120020 is an abundant number, since it is smaller than the sum of its proper divisors (320816019332620).

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

222102120120020 is a wasteful number, since it uses less digits than its factorization.

222102120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148032133 (or 148032124 counting only the distinct ones).

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

Adding to 222102120120020 its reverse (20021021201222), we get a palindrome (242123141321242).

The spelling of 222102120120020 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1531 3062 6124 7655 10717 15310 21434 30620 42868 53585 75019 107170 150038 214340 300076 375095 750190 1500380 148030579 296061158 592122316 740152895 1036214053 1480305790 2072428106 2960611580 4144856212 5181070265 7253498371 10362140530 14506996742 20724281060 29013993484 36267491855 72534983710 145069967420 226634816449 453269632898 906539265796 1133174082245 1586443715143 2266348164490 3172887430286 4532696328980 6345774860572 7932218575715 11105106006001 15864437151430 22210212012002 31728874302860 44420424024004 55525530030005 111051060060010 222102120120020