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120123123330 = 23576120114663
BaseRepresentation
bin110111111011111100…
…1010110011010000010
3102111001120211220221210
41233313321112122002
53432003004421310
6131103411230550
711451522462360
oct1576771263202
9374046756853
10120123123330
1146a4240a541
121b344ba8456
13b434865b02
145b57836630
1531d0bc6820
hex1bf7e56682

120123123330 has 128 divisors (see below), whose sum is σ = 335120265216. Its totient is φ = 26987385600.

The previous prime is 120123123283. The next prime is 120123123347. The reversal of 120123123330 is 33321321021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120123123297 and 120123123306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25758579 + ... + 25763241.

It is an arithmetic number, because the mean of its divisors is an integer number (2618127072).

Almost surely, 2120123123330 is an apocalyptic number.

120123123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120123123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167560132608).

120123123330 is an abundant number, since it is smaller than the sum of its proper divisors (214997141886).

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

120123123330 is a wasteful number, since it uses less digits than its factorization.

120123123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120123123330 its reverse (33321321021), we get a palindrome (153444444351).

The spelling of 120123123330 in words is "one hundred twenty billion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2011 2135 2562 4022 4270 4663 6033 6405 9326 10055 12066 12810 13989 14077 20110 23315 27978 28154 30165 32641 42231 46630 60330 65282 69945 70385 84462 97923 122671 139890 140770 163205 195846 211155 245342 284443 326410 368013 422310 489615 568886 613355 736026 853329 858697 979230 1226710 1422215 1706658 1717394 1840065 1991101 2576091 2844430 3680130 3982202 4266645 4293485 5152182 5973303 8533290 8586970 9377293 9955505 11946606 12880455 18754586 19911010 25760910 28131879 29866515 46886465 56263758 59733030 65641051 93772930 131282102 140659395 196923153 281318790 328205255 393846306 572014873 656410510 984615765 1144029746 1716044619 1969231530 2860074365 3432089238 4004104111 5720148730 8008208222 8580223095 12012312333 17160446190 20020520555 24024624666 40041041110 60061561665 120123123330