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12210120302130 = 23251631439578401
BaseRepresentation
bin1011000110101110001111…
…1000100001111000110010
31121020021110021111101220200
42301223203320201320302
53100022311244132010
641545130221220030
72400103110061362
oct261534370417062
947207407441820
1012210120302130
113988312658863
1214524a0701616
136a75425ca7ca
14302d89bba9a2
1516292eab7cc0
hexb1ae3e21e32

12210120302130 has 96 divisors (see below), whose sum is σ = 31963327418880. Its totient is φ = 3233802009600.

The previous prime is 12210120302129. The next prime is 12210120302213. The reversal of 12210120302130 is 3120302101221.

12210120302130 is a `hidden beast` number, since 1 + 2 + 210 + 1 + 20 + 302 + 130 = 666.

12210120302130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20820930 + ... + 21399330.

It is an arithmetic number, because the mean of its divisors is an integer number (332951327280).

Almost surely, 212210120302130 is an apocalyptic number.

12210120302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210120302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981663709440).

12210120302130 is an abundant number, since it is smaller than the sum of its proper divisors (19753207116750).

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

12210120302130 is a wasteful number, since it uses less digits than its factorization.

12210120302130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580016 (or 580013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12210120302130 its reverse (3120302101221), we get a palindrome (15330422403351).

The spelling of 12210120302130 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1439 1467 1630 2445 2878 2934 4317 4890 7195 7335 8634 12951 14390 14670 21585 25902 43170 64755 129510 234557 469114 578401 703671 1156802 1172785 1407342 1735203 2111013 2345570 2892005 3470406 3518355 4222026 5205609 5784010 7036710 8676015 10411218 10555065 17352030 21110130 26028045 52056090 94279363 188558726 282838089 471396815 565676178 832319039 848514267 942793630 1414190445 1664638078 1697028534 2496957117 2828380890 4161595195 4242571335 4993914234 7490871351 8323190390 8485142670 12484785585 14981742702 24969571170 37454356755 74908713510 135668003357 271336006714 407004010071 678340016785 814008020142 1221012030213 1356680033570 2035020050355 2442024060426 4070040100710 6105060151065 12210120302130