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123002000122120 = 23574193078134061
BaseRepresentation
bin11011111101111010100010…
…100001100010000100001000
3121010111212122212122001010121
4123331322202201202010020
5112110231044012401440
61113334201101553024
734623413141202130
oct3375724241420410
9533455585561117
10123002000122120
1136212945460279
1211966740b75774
135383067447692
142253485853ac0
15e3486e78334a
hex6fdea2862108

123002000122120 has 128 divisors (see below), whose sum is σ = 317065336761600. Its totient is φ = 42068862950400.

The previous prime is 123002000122073. The next prime is 123002000122213. The reversal of 123002000122120 is 21221000200321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123002000122094 and 123002000122103.

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, 3611209890 + ... + 3611243950.

It is an arithmetic number, because the mean of its divisors is an integer number (2477072943450).

Almost surely, 2123002000122120 is an apocalyptic number.

123002000122120 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 123002000122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158532668380800).

123002000122120 is an abundant number, since it is smaller than the sum of its proper divisors (194063336639480).

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

123002000122120 is a wasteful number, since it uses less digits than its factorization.

123002000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65279 (or 65275 counting only the distinct ones).

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

Adding to 123002000122120 its reverse (21221000200321), we get a palindrome (144223000322441).

The spelling of 123002000122120 in words is "one hundred twenty-three trillion, two billion, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 419 838 1676 2095 2933 3352 4190 5866 8380 11732 14665 16760 23464 29330 30781 34061 58660 61562 68122 117320 123124 136244 153905 170305 215467 238427 246248 272488 307810 340610 430934 476854 615620 681220 861868 953708 1077335 1192135 1231240 1362440 1723736 1907416 2154670 2384270 4309340 4768540 8618680 9537080 12897239 14271559 25794478 28543118 51588956 57086236 64486195 71357795 90280673 99900913 103177912 114172472 128972390 142715590 180561346 199801826 257944780 285431180 361122692 399603652 451403365 499504565 515889560 570862360 722245384 799207304 902806730 999009130 1048431641 1805613460 1998018260 2096863282 3611226920 3996036520 4193726564 5242158205 7339021487 8387453128 10484316410 14678042974 20968632820 29356085948 36695107435 41937265640 58712171896 73390214870 146780429740 293560859480 439292857579 878585715158 1757171430316 2196464287895 3075050003053 3514342860632 4392928575790 6150100006106 8785857151580 12300200012212 15375250015265 17571714303160 24600400024424 30750500030530 61501000061060 123002000122120