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211120221210012 = 223231593206369923
BaseRepresentation
bin110000000000001101000001…
…110010100100010110011100
31000200111220012012200222110200
4300000031001302210112130
5210132443203112210022
62025003142442503500
762316634615106532
oct6000150162442634
91020456165628420
10211120221210012
11612a6645a86774
121b81861ab04b90
1390a572266c69a
143a1c3b7a46152
151961ac4d47bac
hexc00341ca459c

211120221210012 has 72 divisors (see below), whose sum is σ = 560216953121280. Its totient is φ = 66949003971360.

The previous prime is 211120221209993. The next prime is 211120221210013. The reversal of 211120221210012 is 210012122021112.

211120221210012 is a `hidden beast` number, since 211 + 1 + 20 + 221 + 210 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120221210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603119118 + ... + 1603250805.

Almost surely, 2211120221210012 is an apocalyptic number.

It is an amenable number.

211120221210012 is an abundant number, since it is smaller than the sum of its proper divisors (349096731911268).

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

211120221210012 is a wasteful number, since it uses less digits than its factorization.

211120221210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206370023 (or 3206370018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120221210012 its reverse (210012122021112), we get a palindrome (421132343231124).

The spelling of 211120221210012 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 1062 1116 1829 2124 3658 5487 7316 10974 16461 21948 32922 65844 3206369923 6412739846 9619109769 12825479692 19238219538 28857329307 38476439076 57714658614 99397467613 115429317228 189175825457 198794935226 298192402839 378351650914 397589870452 567527476371 596384805678 756703301828 894577208517 1135054952742 1192769611356 1702582429113 1789154417034 2270109905484 3405164858226 3578308834068 5864450589167 6810329716452 11728901178334 17593351767501 23457802356668 35186703535002 52780055302503 70373407070004 105560110605006 211120221210012