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123200212220 = 22529732939931
BaseRepresentation
bin111001010111101001…
…1100000110011111100
3102210000000221020100222
41302233103200303330
54004303223242340
6132333012040512
711621005345121
oct1625723406374
9383000836328
10123200212220
1148281342a08
121ba63603138
13b8051cb677
145d6a388748
153310de68b5
hex1caf4e0cfc

123200212220 has 96 divisors (see below), whose sum is σ = 272261545920. Its totient is φ = 46764103680.

The previous prime is 123200212189. The next prime is 123200212273. The reversal of 123200212220 is 22212002321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12400655 + ... + 12410585.

It is an arithmetic number, because the mean of its divisors is an integer number (2836057770).

Almost surely, 2123200212220 is an apocalyptic number.

123200212220 is a gapful number since it is divisible by the number (10) 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 123200212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136130772960).

123200212220 is an abundant number, since it is smaller than the sum of its proper divisors (149061333700).

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

123200212220 is a wasteful number, since it uses less digits than its factorization.

123200212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 123200212220 its reverse (22212002321), we get a palindrome (145412214541).

The spelling of 123200212220 in words is "one hundred twenty-three billion, two hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 293 365 580 586 730 1172 1460 1465 2117 2930 4234 5860 8468 8497 9931 10585 16994 19862 21170 21389 33988 39724 42340 42485 42778 49655 84970 85556 99310 106945 169940 198620 213890 287999 427780 575998 620281 724963 1151996 1240562 1439995 1449926 2481124 2879990 2899852 2909783 3101405 3624815 5759980 5819566 6202810 7249630 11639132 12405620 14499260 14548915 21023927 29097830 42047854 58195660 84095708 84383707 105119635 168767414 210239270 212414159 337534828 420478540 421918535 424828318 843837070 849656636 1062070795 1687674140 2124141590 4248283180 6160010611 12320021222 24640042444 30800053055 61600106110 123200212220