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1212030120 = 233572775209
BaseRepresentation
bin100100000111110…
…0001110010101000
310010110122111202110
41020033201302220
54440234430440
6320134002320
742015041340
oct11017416250
93113574673
101212030120
11572183194
12299aa63a0
131641470b2
14b6d81d20
1571615080
hex483e1ca8

1212030120 has 128 divisors (see below), whose sum is σ = 4171334400. Its totient is φ = 275982336.

The previous prime is 1212030107. The next prime is 1212030139. The reversal of 1212030120 is 210302121.

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 = 1212030096 and 1212030105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230076 + ... + 235284.

It is an arithmetic number, because the mean of its divisors is an integer number (32588550).

Almost surely, 21212030120 is an apocalyptic number.

1212030120 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 1212030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085667200).

1212030120 is an abundant number, since it is smaller than the sum of its proper divisors (2959304280).

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

1212030120 is a wasteful number, since it uses less digits than its factorization.

1212030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5503 counting only the distinct ones).

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

The square root of 1212030120 is about 34814.2229555680. Note that the first 3 decimals coincide. The cubic root of 1212030120 is about 1066.1978543116.

Adding to 1212030120 its reverse (210302121), we get a palindrome (1422332241).

It can be divided in two parts, 1212030 and 120, that multiplied together give a square (145443600 = 120602).

The spelling of 1212030120 in words is "one billion, two hundred twelve million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 277 280 420 554 831 840 1108 1385 1662 1939 2216 2770 3324 3878 4155 5209 5540 5817 6648 7756 8310 9695 10418 11080 11634 15512 15627 16620 19390 20836 23268 26045 29085 31254 33240 36463 38780 41672 46536 52090 58170 62508 72926 77560 78135 104180 109389 116340 125016 145852 156270 182315 208360 218778 232680 291704 312540 364630 437556 546945 625080 729260 875112 1093890 1442893 1458520 2187780 2885786 4328679 4375560 5771572 7214465 8657358 10100251 11543144 14428930 17314716 20200502 21643395 28857860 30300753 34629432 40401004 43286790 50501255 57715720 60601506 80802008 86573580 101002510 121203012 151503765 173147160 202005020 242406024 303007530 404010040 606015060 1212030120