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120212220 = 223583101239
BaseRepresentation
bin1110010101001…
…00101011111100
322101012102011110
413022210223330
5221233242340
615532322020
72656533642
oct712445374
9271172143
10120212220
1161947247
1234313310
131bb9c6bb
1411d73192
15a848680
hex72a4afc

120212220 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 31225600.

The previous prime is 120212171. The next prime is 120212243. The reversal of 120212220 is 22212021.

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 = 120212196 and 120212205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502861 + ... + 503099.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2120212220 is an apocalyptic number.

120212220 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 120212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

120212220 is an abundant number, since it is smaller than the sum of its proper divisors (225249540).

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

120212220 is a wasteful number, since it uses less digits than its factorization.

120212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120212220 is about 10964.1333446835. The cubic root of 120212220 is about 493.5330100311.

Adding to 120212220 its reverse (22212021), we get a palindrome (142424241).

It can be divided in two parts, 12021 and 2220, that added together give a palindrome (14241).

The spelling of 120212220 in words is "one hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 101 166 202 239 249 303 332 404 415 478 498 505 606 717 830 956 996 1010 1195 1212 1245 1434 1515 1660 2020 2390 2490 2868 3030 3585 4780 4980 6060 7170 8383 14340 16766 19837 24139 25149 33532 39674 41915 48278 50298 59511 72417 79348 83830 96556 99185 100596 119022 120695 125745 144834 167660 198370 238044 241390 251490 289668 297555 362085 396740 482780 502980 595110 724170 1190220 1448340 2003537 4007074 6010611 8014148 10017685 12021222 20035370 24042444 30053055 40070740 60106110 120212220