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120112233220 = 22578361916699
BaseRepresentation
bin110111111011100111…
…1110011101100000100
3102111000211100122112101
41233313033303230010
53431442212430340
6131102342001444
711451331064650
oct1576717635404
9374024318471
10120112233220
1146a37251651
121b341416284
13b432522065
145b561dda60
1531cec74c9a
hex1bf73f3b04

120112233220 has 96 divisors (see below), whose sum is σ = 292231296000. Its totient is φ = 40617016704.

The previous prime is 120112233119. The next prime is 120112233223. The reversal of 120112233220 is 22332211021.

It is not an unprimeable number, because it can be changed into a prime (120112233223) 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, 7184431 + ... + 7201129.

It is an arithmetic number, because the mean of its divisors is an integer number (3044076000).

Almost surely, 2120112233220 is an apocalyptic number.

120112233220 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 120112233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146115648000).

120112233220 is an abundant number, since it is smaller than the sum of its proper divisors (172119062780).

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

120112233220 is a wasteful number, since it uses less digits than its factorization.

120112233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 120112233220 its reverse (22332211021), we get a palindrome (142444444241).

The spelling of 120112233220 in words is "one hundred twenty billion, one hundred twelve million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 619 830 1162 1238 1660 2324 2476 2905 3095 4333 5810 6190 8666 11620 12380 16699 17332 21665 33398 43330 51377 66796 83495 86660 102754 116893 166990 205508 233786 256885 333980 359639 467572 513770 584465 719278 1027540 1168930 1386017 1438556 1798195 2337860 2772034 3596390 5544068 6930085 7192780 9702119 10336681 13860170 19404238 20673362 27720340 38808476 41346724 48510595 51683405 72356767 97021190 103366810 144713534 194042380 206733620 289427068 361783835 723567670 857944523 1447135340 1715889046 3431778092 4289722615 6005611661 8579445230 12011223322 17158890460 24022446644 30028058305 60056116610 120112233220