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123225030420 = 22352982985427
BaseRepresentation
bin111001011000011001…
…0001011111100010100
3102210001202122010112120
41302300302023330110
54004331101433140
6132335300015540
711621426322312
oct1626062137424
9383052563476
10123225030420
1148294354218
121ba6b9915b0
13b80a3aabab
145d6d7a90b2
15331319a1d0
hex1cb0c8bf14

123225030420 has 96 divisors (see below), whose sum is σ = 357362409600. Its totient is φ = 31688262144.

The previous prime is 123225030403. The next prime is 123225030421. The reversal of 123225030420 is 24030522321.

123225030420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123225030421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399747 + ... + 1485173.

It is an arithmetic number, because the mean of its divisors is an integer number (3722525100).

Almost surely, 2123225030420 is an apocalyptic number.

123225030420 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 123225030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178681204800).

123225030420 is an abundant number, since it is smaller than the sum of its proper divisors (234137379180).

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

123225030420 is a wasteful number, since it uses less digits than its factorization.

123225030420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86297 (or 86295 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 123225030420 its reverse (24030522321), we get a palindrome (147255552741).

The spelling of 123225030420 in words is "one hundred twenty-three billion, two hundred twenty-five million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 829 870 1658 1740 2487 3316 4145 4974 8290 9948 12435 16580 24041 24870 48082 49740 72123 85427 96164 120205 144246 170854 240410 256281 288492 341708 360615 427135 480820 512562 721230 854270 1025124 1281405 1442460 1708540 2477383 2562810 4954766 5125620 7432149 9909532 12386915 14864298 24773830 29728596 37160745 49547660 70818983 74321490 141637966 148642980 212456949 283275932 354094915 424913898 708189830 849827796 1062284745 1416379660 2053750507 2124569490 4107501014 4249138980 6161251521 8215002028 10268752535 12322503042 20537505070 24645006084 30806257605 41075010140 61612515210 123225030420