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120021411320 = 23561181359757
BaseRepresentation
bin110111111000111010…
…1010110010111111000
3102110210111110102022022
41233301311112113320
53431300440130240
6131045335214012
711446146110036
oct1576165262770
9373714412268
10120021411320
114699aa59828
121b316b17308
13b419772ca5
145b4811b556
1531c6cd49b5
hex1bf1d565f8

120021411320 has 128 divisors (see below), whose sum is σ = 277126012800. Its totient is φ = 46767974400.

The previous prime is 120021411319. The next prime is 120021411329. The reversal of 120021411320 is 23114120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021411329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158548382 + ... + 158549138.

It is an arithmetic number, because the mean of its divisors is an integer number (2165046975).

Almost surely, 2120021411320 is an apocalyptic number.

120021411320 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 120021411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138563006400).

120021411320 is an abundant number, since it is smaller than the sum of its proper divisors (157104601480).

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

120021411320 is a wasteful number, since it uses less digits than its factorization.

120021411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120021411320 its reverse (23114120021), we get a palindrome (143135531341).

The spelling of 120021411320 in words is "one hundred twenty billion, twenty-one million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 181 244 305 359 362 488 610 718 724 757 905 1220 1436 1448 1514 1795 1810 2440 2872 3028 3590 3620 3785 6056 7180 7240 7570 11041 14360 15140 21899 22082 30280 43798 44164 46177 55205 64979 87596 88328 92354 109495 110410 129958 137017 175192 184708 218990 220820 230885 259916 271763 274034 324895 369416 437980 441640 461770 519832 543526 548068 649790 685085 875960 923540 1087052 1096136 1299580 1358815 1370170 1847080 2174104 2599160 2717630 2740340 3963719 5435260 5480680 7927438 8358037 10870520 15854876 16577543 16716074 19818595 31709752 33155086 33432148 39637190 41790185 49189103 66310172 66864296 79274380 82887715 83580370 98378206 132620344 158548760 165775430 167160740 196756412 245945515 331550860 334321480 393512824 491891030 663101720 983782060 1967564120 3000535283 6001070566 12002141132 15002676415 24004282264 30005352830 60010705660 120021411320