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121021212121000 = 2353412951736881
BaseRepresentation
bin11011100001000101110010…
…010110111101011110101000
3120212111111220100112212002121
4123201011302112331132220
5111330302420300333000
61105220213300441024
734330331312040442
oct3341056226753650
9525444810485077
10121021212121000
1135619898253614
12116a687b0a9174
13526b3362496a9
1421c565a765492
15ded08d269b1a
hex6e11725bd7a8

121021212121000 has 64 divisors (see below), whose sum is σ = 290096700762960. Its totient is φ = 47227790080000.

The previous prime is 121021212120967. The next prime is 121021212121003. The reversal of 121021212121000 is 121212120121.

It can be written as a sum of positive squares in 8 ways, for example, as 18726961981156 + 102294250139844 = 4327466^2 + 10114062^2 .

It is a super-2 number, since 2×1210212121210002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121021212121003) 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, 1475827441 + ... + 1475909440.

Almost surely, 2121021212121000 is an apocalyptic number.

121021212121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021212121000 is an abundant number, since it is smaller than the sum of its proper divisors (169075488641960).

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

121021212121000 is a wasteful number, since it uses less digits than its factorization.

121021212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951736943 (or 2951736929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121021212121000 its reverse (121212120121), we get a palindrome (121142424241121).

The spelling of 121021212121000 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000 2951736881 5903473762 11806947524 14758684405 23613895048 29517368810 59034737620 73793422025 118069475240 121021212121 147586844050 242042424242 295173688100 368967110125 484084848484 590347376200 605106060605 737934220250 968169696968 1210212121210 1475868440500 2420424242420 2951736881000 3025530303025 4840848484840 6051060606050 12102121212100 15127651515125 24204242424200 30255303030250 60510606060500 121021212121000