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120021012330330 = 23567157495176819
BaseRepresentation
bin11011010010100010010001…
…110011100011011101011010
3120201221220012201012000100010
4123102202101303203131122
5111212411013124032310
61103132520352022350
734165142400065346
oct3322422163433532
9521856181160303
10120021012330330
1135273697578a71
1211564a622319b6
1351c7c1876ac27
14218d095992626
15dd204e1db320
hex6d2891ce375a

120021012330330 has 128 divisors (see below), whose sum is σ = 294275045099520. Its totient is φ = 31320357868800.

The previous prime is 120021012330299. The next prime is 120021012330379. The reversal of 120021012330330 is 33033210120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021012330297 and 120021012330306.

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, 1562348661 + ... + 1562425479.

It is an arithmetic number, because the mean of its divisors is an integer number (2299023789840).

Almost surely, 2120021012330330 is an apocalyptic number.

120021012330330 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 120021012330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147137522549760).

120021012330330 is an abundant number, since it is smaller than the sum of its proper divisors (174254032769190).

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

120021012330330 is a wasteful number, since it uses less digits than its factorization.

120021012330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82004.

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

Adding to 120021012330330 its reverse (33033210120021), we get a palindrome (153054222450351).

The spelling of 120021012330330 in words is "one hundred twenty trillion, twenty-one billion, twelve million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 157 201 314 335 402 471 670 785 942 1005 1570 2010 2355 4710 4951 9902 10519 14853 21038 24755 29706 31557 49510 52595 63114 74265 76819 105190 148530 153638 157785 230457 315570 331717 384095 460914 663434 768190 777307 995151 1152285 1554614 1658585 1990302 2304570 2331921 3317170 3886535 4663842 4975755 5146873 7773070 9951510 10293746 11659605 12060583 15440619 23319210 24121166 25734365 30881238 36181749 51468730 52079569 60302915 72363498 77203095 104159138 120605830 154406190 156238707 180908745 260397845 312477414 361817490 380330869 520795690 760661738 781193535 808059061 1140992607 1562387070 1616118122 1901654345 2281985214 2424177183 3803308690 4040295305 4848354366 5704963035 8080590610 11409926070 12120885915 24241771830 25482168223 50964336446 59711946433 76446504669 119423892866 127410841115 152893009338 179135839299 254821682230 298559732165 358271678598 382232523345 597119464330 764465046690 895679196495 1791358392990 4000700411011 8001400822022 12002101233033 20003502055055 24004202466066 40007004110110 60010506165165 120021012330330