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123005115220 = 225138325122709
BaseRepresentation
bin111001010001110101…
…1010001101101010100
3102202111102211021121011
41302203223101231110
54003403302141340
6132301402302004
711613116141161
oct1624353215524
9382442737534
10123005115220
11481911a9719
121ba0a1b7904
13b7a396cc60
145d4c4c1068
1532edc0a0ea
hex1ca3ad1b54

123005115220 has 96 divisors (see below), whose sum is σ = 282666464640. Its totient is φ = 44689344000.

The previous prime is 123005115203. The next prime is 123005115241. The reversal of 123005115220 is 22511500321.

It is a junction number, because it is equal to n+sod(n) for n = 123005115191 and 123005115200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5405226 + ... + 5427934.

It is an arithmetic number, because the mean of its divisors is an integer number (2944442340).

Almost surely, 2123005115220 is an apocalyptic number.

123005115220 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 123005115220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141333232320).

123005115220 is an abundant number, since it is smaller than the sum of its proper divisors (159661349420).

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

123005115220 is a wasteful number, since it uses less digits than its factorization.

123005115220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23065 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 123005115220 its reverse (22511500321), we get a palindrome (145516615541).

The spelling of 123005115220 in words is "one hundred twenty-three billion, five million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 251 260 332 415 502 830 1004 1079 1255 1660 2158 2510 3263 4316 5020 5395 6526 10790 13052 16315 20833 21580 22709 32630 41666 45418 65260 83332 90836 104165 113545 208330 227090 270829 295217 416660 454180 541658 590434 1083316 1180868 1354145 1476085 1884847 2708290 2952170 3769694 5416580 5699959 5904340 7539388 9424235 11399918 18848470 22799836 24503011 28499795 37696940 49006022 56999590 74099467 98012044 113999180 122515055 148198934 245030110 296397868 370497335 473096597 490060220 740994670 946193194 1481989340 1892386388 2365482985 4730965970 6150255761 9461931940 12300511522 24601023044 30751278805 61502557610 123005115220