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1212012120 = 2335111019091
BaseRepresentation
bin100100000111101…
…1101011001011000
310010110121121001210
41020033131121120
54440233341440
6320133343120
742014635014
oct11017353130
93113547053
101212012120
11572170710
12299a97aa0
1316413bb47
14b6d79544
157160ea80
hex483dd658

1212012120 has 128 divisors (see below), whose sum is σ = 4006298880. Its totient is φ = 290880000.

The previous prime is 1212012119. The next prime is 1212012121. The reversal of 1212012120 is 212102121.

It is an interprime number because it is at equal distance from previous prime (1212012119) and next prime (1212012121).

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 = 1212012096 and 1212012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128775 + ... + 137865.

It is an arithmetic number, because the mean of its divisors is an integer number (31299210).

Almost surely, 21212012120 is an apocalyptic number.

1212012120 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 1212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003149440).

1212012120 is an abundant number, since it is smaller than the sum of its proper divisors (2794286760).

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

1212012120 is a wasteful number, since it uses less digits than its factorization.

1212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1212012120 is about 34813.9644395751. The cubic root of 1212012120 is about 1066.1925762094.

Adding to 1212012120 its reverse (212102121), we get a palindrome (1424114241).

Subtracting from 1212012120 its reverse (212102121), we obtain a palindrome (999909999).

It can be divided in two parts, 121201 and 2120, that added together give a palindrome (123321).

The spelling of 1212012120 in words is "one billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 9091 11110 12120 13332 16665 18182 22220 26664 27273 33330 36364 44440 45455 54546 66660 72728 90910 100001 109092 133320 136365 181820 200002 218184 272730 300003 363640 400004 500005 545460 600006 800008 918191 1000010 1090920 1200012 1500015 1836382 2000020 2400024 2754573 3000030 3672764 4000040 4590955 5509146 6000060 7345528 9181910 10100101 11018292 12000120 13772865 18363820 20200202 22036584 27545730 30300303 36727640 40400404 50500505 55091460 60600606 80800808 101001010 110182920 121201212 151501515 202002020 242402424 303003030 404004040 606006060 1212012120