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21212122120 = 23571916692389
BaseRepresentation
bin10011110000010101…
…110100110000001000
32000202022100110012121
4103300111310300020
5321420300401440
613424505221024
71350441030430
oct236025646010
960668313177
1021212122120
118aa5765342
12413ba91774
132000854867
14105328d2c0
1584239d34a
hex4f0574c08

21212122120 has 128 divisors (see below), whose sum is σ = 57474720000. Its totient is φ = 6882941952.

The previous prime is 21212122081. The next prime is 21212122187. The reversal of 21212122120 is 2122121212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21212122094 and 21212122103.

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, 8877886 + ... + 8880274.

It is an arithmetic number, because the mean of its divisors is an integer number (449021250).

Almost surely, 221212122120 is an apocalyptic number.

21212122120 is a gapful number since it is divisible by the number (20) 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 21212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28737360000).

21212122120 is an abundant number, since it is smaller than the sum of its proper divisors (36262597880).

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

21212122120 is a wasteful number, since it uses less digits than its factorization.

21212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21212122120 its reverse (2122121212), we get a palindrome (23334243332).

The spelling of 21212122120 in words is "twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 1669 2389 2660 3338 4778 5320 6676 8345 9556 11683 11945 13352 16690 16723 19112 23366 23890 31711 33380 33446 45391 46732 47780 58415 63422 66760 66892 83615 90782 93464 95560 116830 126844 133784 158555 167230 181564 221977 226955 233660 253688 317110 317737 334460 363128 443954 453910 467320 634220 635474 668920 887908 907820 1109885 1268440 1270948 1588685 1775816 1815640 2219770 2541896 3177370 3987241 4439540 6354740 7974482 8879080 12709480 15948964 19936205 27910687 31897928 39872410 55821374 75757579 79744820 111642748 139553435 151515158 159489640 223285496 279106870 303030316 378787895 530303053 558213740 606060632 757575790 1060606106 1116427480 1515151580 2121212212 2651515265 3030303160 4242424424 5303030530 10606061060 21212122120