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221012121212120 = 2357789329004329
BaseRepresentation
bin110010010000001001100100…
…111110011101010011011000
31001222112112220201201100211102
4302100021210332131103120
5212432030311012241440
62102015322233450532
764360412252602340
oct6220114476352330
91058475821640742
10221012121212120
116446a794717357
1220955768270a48
139642479b327c4
143c81088059d20
151a840748a1b15
hexc90264f9d4d8

221012121212120 has 32 divisors (see below), whose sum is σ = 568316883117600. Its totient is φ = 75775584415488.

The previous prime is 221012121212107. The next prime is 221012121212147. The reversal of 221012121212120 is 21212121210122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221012121212092 and 221012121212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394664501885 + ... + 394664502444.

It is an arithmetic number, because the mean of its divisors is an integer number (17759902597425).

Almost surely, 2221012121212120 is an apocalyptic number.

221012121212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012121212120 is an abundant number, since it is smaller than the sum of its proper divisors (347304761905480).

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

221012121212120 is a wasteful number, since it uses less digits than its factorization.

221012121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789329004347 (or 789329004343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221012121212120 its reverse (21212121210122), we get a palindrome (242224242422242).

The spelling of 221012121212120 in words is "two hundred twenty-one trillion, twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 789329004329 1578658008658 3157316017316 3946645021645 5525303030303 6314632034632 7893290043290 11050606060606 15786580086580 22101212121212 27626515151515 31573160173160 44202424242424 55253030303030 110506060606060 221012121212120