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21212220121000 = 235326813791117
BaseRepresentation
bin1001101001010110110101…
…10110000101111110101000
32210002212110002111002020021
410310223122312011332220
510240020111322333000
6113040432010210224
74316350406030566
oct464533266057650
983085402432207
1021212220121000
116839063290987
1224670a1723974
13bab3c4513a6c
14534969702a36
1526bba27c311a
hex134adad85fa8

21212220121000 has 64 divisors (see below), whose sum is σ = 49638509041680. Its totient is φ = 8484560876800.

The previous prime is 21212220120947. The next prime is 21212220121003. The reversal of 21212220121000 is 12102221212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44252171044 + 21167967949956 = 210362^2 + 4600866^2 .

It is not an unprimeable number, because it can be changed into a prime (21212220121003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26417442 + ... + 27208558.

Almost surely, 221212220121000 is an apocalyptic number.

21212220121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212220121000 is an abundant number, since it is smaller than the sum of its proper divisors (28426288920680).

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

21212220121000 is a wasteful number, since it uses less digits than its factorization.

21212220121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817951 (or 817937 counting only the distinct ones).

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

Adding to 21212220121000 its reverse (12102221212), we get a palindrome (21224322342212).

The spelling of 21212220121000 in words is "twenty-one trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 26813 53626 107252 134065 214504 268130 536260 670325 791117 1072520 1340650 1582234 2681300 3164468 3351625 3955585 5362600 6328936 6703250 7911170 13406500 15822340 19777925 26813000 31644680 39555850 79111700 98889625 158223400 197779250 395558500 791117000 21212220121 42424440242 84848880484 106061100605 169697760968 212122201210 424244402420 530305503025 848488804840 1060611006050 2121222012100 2651527515125 4242444024200 5303055030250 10606110060500 21212220121000