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120221202210012 = 223261172131810307
BaseRepresentation
bin11011010101011100101110…
…000011010101110011011100
3120202200000221021202120210100
4123111130232003111303130
5111224201010231210022
61103404505143541100
734215460315016421
oct3325345603256334
9522600837676710
10120221202210012
113534058653a622
121159781145a790
135210a7020cb37
142198a46d7dd48
15dd736916b1ac
hex6d572e0d5cdc

120221202210012 has 72 divisors (see below), whose sum is σ = 309053810821392. Its totient is φ = 39393882950400.

The previous prime is 120221202210001. The next prime is 120221202210037. The reversal of 120221202210012 is 210012202122021.

It is a happy number.

120221202210012 is a `hidden beast` number, since 1 + 20 + 221 + 202 + 210 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12125838 + ... + 19684469.

It is an arithmetic number, because the mean of its divisors is an integer number (4292414039186).

Almost surely, 2120221202210012 is an apocalyptic number.

120221202210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221202210012 is an abundant number, since it is smaller than the sum of its proper divisors (188832608611380).

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

120221202210012 is a wasteful number, since it uses less digits than its factorization.

120221202210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31812099 (or 31812094 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221202210012 its reverse (210012202122021), we get a palindrome (330233404332033).

The spelling of 120221202210012 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1721 2196 3442 5163 6884 10326 15489 20652 30978 61956 104981 209962 314943 419924 629886 944829 1259772 1889658 3779316 31810307 63620614 95430921 127241228 190861842 286292763 381723684 572585526 1145171052 1940428727 3880857454 5821286181 7761714908 11642572362 17463858543 23285144724 34927717086 54745538347 69855434172 109491076694 164236615041 218982153388 328473230082 492709845123 656946460164 985419690246 1970839380492 3339477839167 6678955678334 10018433517501 13357911356668 20036867035002 30055300552503 40073734070004 60110601105006 120221202210012