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123201211223020 = 22572937278141971
BaseRepresentation
bin11100000000110100000100…
…011011100100101111101100
3121011012220212020110111111211
4130000310010123210233230
5112122012040033114040
61114005504411124204
734643664602465560
oct3400640433445754
9534186766414454
10123201211223020
113628a381982947
1211999278443664
135398a9419c648
14225cd82c596a0
15e39b2d8248ea
hex700d046e4bec

123201211223020 has 96 divisors (see below), whose sum is σ = 305960977889280. Its totient is φ = 40772901415680.

The previous prime is 123201211222981. The next prime is 123201211223063. The reversal of 123201211223020 is 20322112102321.

It is a junction number, because it is equal to n+sod(n) for n = 123201211222982 and 123201211223000.

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, 11060635 + ... + 19202605.

It is an arithmetic number, because the mean of its divisors is an integer number (3187093519680).

Almost surely, 2123201211223020 is an apocalyptic number.

123201211223020 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 123201211223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152980488944640).

123201211223020 is an abundant number, since it is smaller than the sum of its proper divisors (182759766666260).

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

123201211223020 is a wasteful number, since it uses less digits than its factorization.

123201211223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8145743 (or 8145741 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 123201211223020 its reverse (20322112102321), we get a palindrome (143523323325341).

The spelling of 123201211223020 in words is "one hundred twenty-three trillion, two hundred one billion, two hundred eleven million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3727 4060 7454 14908 18635 26089 37270 52178 74540 104356 108083 130445 216166 260890 432332 521780 540415 756581 1080830 1513162 2161660 3026324 3782905 7565810 8141971 15131620 16283942 32567884 40709855 56993797 81419710 113987594 162839420 227975188 236117159 284968985 472234318 569937970 944468636 1139875940 1180585795 1652820113 2361171590 3305640226 4722343180 6611280452 8264100565 16528201130 30345125917 33056402260 60690251834 121380503668 151725629585 212415881419 303451259170 424831762838 606902518340 849663525676 880008651593 1062079407095 1760017303186 2124158814190 3520034606372 4248317628380 4400043257965 6160060561151 8800086515930 12320121122302 17600173031860 24640242244604 30800302805755 61600605611510 123201211223020