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120203010120 = 23354333017057
BaseRepresentation
bin110111111110010101…
…0000110000001001000
3102111021011011121000210
41233330222012001020
53432133432310440
6131115343401120
711453512504434
oct1577452060110
9374234147023
10120203010120
1146a83513686
121b3678b31a0
13b4482867bb
145b642ad9c4
1531d7c06a80
hex1bfca86048

120203010120 has 128 divisors (see below), whose sum is σ = 369159373440. Its totient is φ = 31294771200.

The previous prime is 120203010029. The next prime is 120203010127. The reversal of 120203010120 is 21010302021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120203010096 and 120203010105.

It is not an unprimeable number, because it can be changed into a prime (120203010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17029632 + ... + 17036688.

It is an arithmetic number, because the mean of its divisors is an integer number (2884057605).

Almost surely, 2120203010120 is an apocalyptic number.

120203010120 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 120203010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184579686720).

120203010120 is an abundant number, since it is smaller than the sum of its proper divisors (248956363320).

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

120203010120 is a wasteful number, since it uses less digits than its factorization.

120203010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120203010120 its reverse (21010302021), we get a palindrome (141213312141).

The spelling of 120203010120 in words is "one hundred twenty billion, two hundred three million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 3301 5160 6602 7057 9903 13204 14114 16505 19806 21171 26408 28228 33010 35285 39612 42342 49515 56456 66020 70570 79224 84684 99030 105855 132040 141140 141943 169368 198060 211710 282280 283886 303451 396120 423420 425829 567772 606902 709715 846840 851658 910353 1135544 1213804 1419430 1517255 1703316 1820706 2129145 2427608 2838860 3034510 3406632 3641412 4258290 4551765 5677720 6069020 7282824 8516580 9103530 12138040 17033160 18207060 23295157 36414120 46590314 69885471 93180628 116475785 139770942 186361256 232951570 279541884 349427355 465903140 559083768 698854710 931806280 1001691751 1397709420 2003383502 2795418840 3005075253 4006767004 5008458755 6010150506 8013534008 10016917510 12020301012 15025376265 20033835020 24040602024 30050752530 40067670040 60101505060 120203010120