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120221333211132 = 22328236073668153
BaseRepresentation
bin11011010101011100110101…
…110111000100011111111100
3120202200001021102021010112200
4123111130311313010133330
5111224201242300224012
61103404530143431500
734215463465350036
oct3325346567043774
9522601242233480
10120221333211132
113534064348570a
12115978492b5590
135210a913b91aa
142198a5a520c56
15dd73758e63dc
hex6d5735dc47fc

120221333211132 has 72 divisors (see below), whose sum is σ = 304312620821664. Its totient is φ = 40018434863616.

The previous prime is 120221333211073. The next prime is 120221333211193. The reversal of 120221333211132 is 231112333122021.

120221333211132 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 213 + 332 + 1 + 113 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120221333211096 and 120221333211105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179596768 + ... + 180264920.

Almost surely, 2120221333211132 is an apocalyptic number.

120221333211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221333211132 is an abundant number, since it is smaller than the sum of its proper divisors (184091287610532).

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

120221333211132 is a wasteful number, since it uses less digits than its factorization.

120221333211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675059 (or 675054 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120221333211132 its reverse (231112333122021), we get a palindrome (351333666333153).

The spelling of 120221333211132 in words is "one hundred twenty trillion, two hundred twenty-one billion, three hundred thirty-three million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 823 1646 2469 3292 4938 6073 7407 9876 12146 14814 18219 24292 29628 36438 54657 72876 109314 218628 668153 1336306 2004459 2672612 4008918 4998079 6013377 8017836 9996158 12026754 14994237 19992316 24053508 29988474 44982711 59976948 89965422 179930844 549889919 1099779838 1649669757 2199559676 3299339514 4057693169 4949009271 6598679028 8115386338 9898018542 12173079507 16230772676 19796037084 24346159014 36519238521 48692318028 73038477042 146076954084 3339481478087 6678962956174 10018444434261 13357925912348 20036888868522 30055333302783 40073777737044 60110666605566 120221333211132