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12222020120 = 2351734751797
BaseRepresentation
bin10110110000111110…
…10011101000011000
31011112202212221200212
423120133103220120
5200012314120440
65340440150252
7611605312502
oct133037235030
934482787625
1012222020120
115202014682
122451168388
1311ca15b88b
1483d2d2d72
154b7ec9465
hex2d87d3a18

12222020120 has 64 divisors (see below), whose sum is σ = 29201640480. Its totient is φ = 4587882496.

The previous prime is 12222020089. The next prime is 12222020131. The reversal of 12222020120 is 2102022221.

12222020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12222020095 and 12222020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210062 + ... + 261858.

Almost surely, 212222020120 is an apocalyptic number.

12222020120 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 12222020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600820240).

12222020120 is an abundant number, since it is smaller than the sum of its proper divisors (16979620360).

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

12222020120 is a wasteful number, since it uses less digits than its factorization.

12222020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52172 (or 52168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12222020120 its reverse (2102022221), we get a palindrome (14324042341).

The spelling of 12222020120 in words is "twelve billion, two hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 347 680 694 1388 1735 2776 3470 5899 6940 11798 13880 23596 29495 47192 51797 58990 103594 117980 207188 235960 258985 414376 517970 880549 1035940 1761098 2071880 3522196 4402745 7044392 8805490 17610980 17973559 35221960 35947118 71894236 89867795 143788472 179735590 305550503 359471180 611101006 718942360 1222202012 1527752515 2444404024 3055505030 6111010060 12222020120