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120203330010012 = 223317363118030907
BaseRepresentation
bin11011010101001100000100…
…110010010011101110011100
3120202121022210202001202102000
4123111030010302103232130
5111223402404440310022
61103352351504402300
734214255400563154
oct3325140462235634
9522538722052360
10120203330010012
1135333a451071a7
1211594264016390
13520c182607872
142197c2d4dd764
15dd6b701096ac
hex6d5304c93b9c

120203330010012 has 96 divisors (see below), whose sum is σ = 330060819594240. Its totient is φ = 37700460737280.

The previous prime is 120203330009981. The next prime is 120203330010017. The reversal of 120203330010012 is 210010033302021.

120203330010012 is a `hidden beast` number, since 1 + 20 + 203 + 330 + 0 + 100 + 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 not an unprimeable number, because it can be changed into a prime (120203330010017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2348938 + ... + 15681969.

It is an arithmetic number, because the mean of its divisors is an integer number (3438133537440).

Almost surely, 2120203330010012 is an apocalyptic number.

120203330010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120203330010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030409797120).

120203330010012 is an abundant number, since it is smaller than the sum of its proper divisors (209857489584228).

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

120203330010012 is a wasteful number, since it uses less digits than its factorization.

120203330010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034568 (or 18034560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120203330010012 its reverse (210010033302021), we get a palindrome (330213363312033).

The spelling of 120203330010012 in words is "one hundred twenty trillion, two hundred three billion, three hundred thirty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 3631 7262 10893 14524 21786 32679 43572 61727 65358 98037 123454 130716 185181 196074 246908 370362 392148 555543 740724 1111086 1666629 2222172 3333258 6666516 18030907 36061814 54092721 72123628 108185442 162278163 216370884 306525419 324556326 486834489 613050838 649112652 919576257 973668978 1226101676 1839152514 1947337956 2758728771 3678305028 5517457542 8276186313 11034915084 16552372626 33104745252 65470223317 130940446634 196410669951 261880893268 392821339902 589232009853 785642679804 1112993796389 1178464019706 1767696029559 2225987592778 2356928039412 3338981389167 3535392059118 4451975185556 6677962778334 7070784118236 10016944167501 13355925556668 20033888335002 30050832502503 40067776670004 60101665005006 120203330010012