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123102045324120 = 23357946512791969
BaseRepresentation
bin11011111111010111101101…
…101011101100001101011000
3121010212102220012022212212110
4123333113231223230031120
5112113400442100332440
61113452144321512320
734633554304322652
oct3377275553541530
9533772805285773
10123102045324120
113625131435a2a5
1211982001aa26a0
13538c61c422665
1422582568bd6d2
15e3727794b080
hex6ff5edaec358

123102045324120 has 128 divisors (see below), whose sum is σ = 374061439872000. Its totient is φ = 32404697395200.

The previous prime is 123102045324031. The next prime is 123102045324127. The reversal of 123102045324120 is 21423540201321.

It is a happy number.

It is a super-2 number, since 2×1231020453241202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123102045324127) 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, 42695496 + ... + 45487464.

It is an arithmetic number, because the mean of its divisors is an integer number (2922354999000).

Almost surely, 2123102045324120 is an apocalyptic number.

123102045324120 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 123102045324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187030719936000).

123102045324120 is an abundant number, since it is smaller than the sum of its proper divisors (250959394547880).

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

123102045324120 is a wasteful number, since it uses less digits than its factorization.

123102045324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796713 (or 2796709 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 123102045324120 its reverse (21423540201321), we get a palindrome (144525585525441).

The spelling of 123102045324120 in words is "one hundred twenty-three trillion, one hundred two billion, forty-five million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4651 4740 9302 9480 13953 18604 23255 27906 37208 46510 55812 69765 93020 111624 139530 186040 279060 367429 558120 734858 1102287 1469716 1837145 2204574 2791969 2939432 3674290 4409148 5511435 5583938 7348580 8375907 8818296 11022870 11167876 13959845 14697160 16751814 22045740 22335752 27919690 33503628 41879535 44091480 55839380 67007256 83759070 111678760 167518140 220565551 335036280 441131102 661696653 882262204 1102827755 1323393306 1764524408 2205655510 2646786612 3308483265 4411311020 5293573224 6616966530 8822622040 12985447819 13233933060 25970895638 26467866120 38956343457 51941791276 64927239095 77912686914 103883582552 129854478190 155825373828 194781717285 259708956380 311650747656 389563434570 519417912760 779126869140 1025850377701 1558253738280 2051700755402 3077551133103 4103401510804 5129251888505 6155102266206 8206803021608 10258503777010 12310204532412 15387755665515 20517007554020 24620409064824 30775511331030 41034015108040 61551022662060 123102045324120