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123012102220 = 22577119164793
BaseRepresentation
bin111001010010000010…
…1111011100001001100
3102202111220222020221221
41302210011323201030
54003412044232340
6132302212133124
711613232421350
oct1624405734114
9382456866857
10123012102220
11481951410a7
121ba106071a4
13b7a5248287
145d4d3bd460
1532ee63a44a
hex1ca417b84c

123012102220 has 96 divisors (see below), whose sum is σ = 300959318016. Its totient is φ = 41363212800.

The previous prime is 123012102197. The next prime is 123012102223. The reversal of 123012102220 is 22201210321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123012102194 and 123012102203.

It is not an unprimeable number, because it can be changed into a prime (123012102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866144 + ... + 1930936.

It is an arithmetic number, because the mean of its divisors is an integer number (3134992896).

Almost surely, 2123012102220 is an apocalyptic number.

123012102220 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 123012102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150479659008).

123012102220 is an abundant number, since it is smaller than the sum of its proper divisors (177947215796).

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

123012102220 is a wasteful number, since it uses less digits than its factorization.

123012102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65071 (or 65069 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123012102220 its reverse (22201210321), we get a palindrome (145213312541).

The spelling of 123012102220 in words is "one hundred twenty-three billion, twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 191 284 355 382 497 710 764 955 994 1337 1420 1910 1988 2485 2674 3820 4970 5348 6685 9940 13370 13561 26740 27122 54244 64793 67805 94927 129586 135610 189854 259172 271220 323965 379708 453551 474635 647930 907102 949270 1295860 1814204 1898540 2267755 4535510 4600303 9071020 9200606 12375463 18401212 23001515 24750926 32202121 46003030 49501852 61877315 64404242 86628241 92006060 123754630 128808484 161010605 173256482 247509260 322021210 346512964 433141205 644042420 866282410 878657873 1732564820 1757315746 3514631492 4393289365 6150605111 8786578730 12301210222 17573157460 24602420444 30753025555 61506051110 123012102220