Search a number
-
+
120112212300 = 223522371245177
BaseRepresentation
bin110111111011100111…
…1101110100101001100
3102111000211022120211120
41233313033232211030
53431442211243200
6131102341320540
711451330646653
oct1576717564514
9374024276746
10120112212300
1146a37237963
121b341406150
13b432515692
145b561d619a
1531cec6d9a0
hex1bf73ee94c

120112212300 has 144 divisors (see below), whose sum is σ = 367743462912. Its totient is φ = 30205683200.

The previous prime is 120112212299. The next prime is 120112212313. The reversal of 120112212300 is 3212211021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120112212300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367312 + ... + 612488.

It is an arithmetic number, because the mean of its divisors is an integer number (2553774048).

Almost surely, 2120112212300 is an apocalyptic number.

120112212300 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 120112212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183871731456).

120112212300 is an abundant number, since it is smaller than the sum of its proper divisors (247631250612).

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

120112212300 is a wasteful number, since it uses less digits than its factorization.

120112212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245288 (or 245281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120112212300 its reverse (3212211021), we get a palindrome (123324423321).

The spelling of 120112212300 in words is "one hundred twenty billion, one hundred twelve million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 71 75 92 100 115 138 142 150 213 230 276 284 300 345 355 426 460 575 690 710 852 1065 1150 1380 1420 1633 1725 1775 2130 2300 3266 3450 3550 4260 4899 5325 6532 6900 7100 8165 9798 10650 16330 19596 21300 24495 32660 40825 48990 81650 97980 122475 163300 244950 245177 489900 490354 735531 980708 1225885 1471062 2451770 2942124 3677655 4903540 5639071 6129425 7355310 11278142 12258850 14710620 16917213 17407567 18388275 22556284 24517700 28195355 33834426 34815134 36776550 52222701 56390710 67668852 69630268 73553100 84586065 87037835 104445402 112781420 140976775 169172130 174075670 208890804 261113505 281953550 338344260 348151340 400374041 422930325 435189175 522227010 563907100 800748082 845860650 870378350 1044454020 1201122123 1305567525 1601496164 1691721300 1740756700 2001870205 2402244246 2611135050 4003740410 4804488492 5222270100 6005610615 8007480820 10009351025 12011221230 20018702050 24022442460 30028053075 40037404100 60056106150 120112212300