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120131220 = 223511216547
BaseRepresentation
bin1110010100100…
…00111010010100
322101001022001110
413022100322110
5221223144340
615530455020
72656045536
oct712207224
9271038043
10120131220
11618a1400
1234294470
131bb71881
1411d51856
15a82e680
hex7290e94

120131220 has 72 divisors (see below), whose sum is σ = 369748512. Its totient is φ = 29120960.

The previous prime is 120131213. The next prime is 120131227. The reversal of 120131220 is 22131021.

It is an interprime number because it is at equal distance from previous prime (120131213) and next prime (120131227).

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 = 120131196 and 120131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014 + ... + 15533.

It is an arithmetic number, because the mean of its divisors is an integer number (5135396).

Almost surely, 2120131220 is an apocalyptic number.

120131220 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 120131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184874256).

120131220 is an abundant number, since it is smaller than the sum of its proper divisors (249617292).

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

120131220 is a wasteful number, since it uses less digits than its factorization.

120131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16568 counting only the distinct ones).

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

The square root of 120131220 is about 10960.4388598267. The cubic root of 120131220 is about 493.4221362338.

Adding to 120131220 its reverse (22131021), we get a palindrome (142262241).

The spelling of 120131220 in words is "one hundred twenty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 16547 33094 49641 66188 82735 99282 165470 182017 198564 248205 330940 364034 496410 546051 728068 910085 992820 1092102 1820170 2002187 2184204 2730255 3640340 4004374 5460510 6006561 8008748 10010935 10921020 12013122 20021870 24026244 30032805 40043740 60065610 120131220