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21121221001012 = 22114127739422077
BaseRepresentation
bin1001100110101101010101…
…10111111111111100110100
32202210011120012120211010221
410303112222313333330310
510232022230034013022
6112530542135224124
74306646355210016
oct463265267777464
982704505524127
1021121221001012
1168035066981a0
122451526218044
13ba2951702032
145303b5c461b6
1526962888acc7
hex1335aadfff34

21121221001012 has 48 divisors (see below), whose sum is σ = 41307389444160. Its totient is φ = 9366035270400.

The previous prime is 21121221000961. The next prime is 21121221001033. The reversal of 21121221001012 is 21010012212112.

It is a super-2 number, since 2×211212210010122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49830118 + ... + 50252194.

It is an arithmetic number, because the mean of its divisors is an integer number (860570613420).

Almost surely, 221121221001012 is an apocalyptic number.

21121221001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121221001012 is a deficient number, since it is larger than the sum of its proper divisors (20186168443148).

21121221001012 is a wasteful number, since it uses less digits than its factorization.

21121221001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449872 (or 449870 counting only the distinct ones).

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

Adding to 21121221001012 its reverse (21010012212112), we get a palindrome (42131233213124).

The spelling of 21121221001012 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 4 11 22 41 44 82 164 451 902 1804 27739 55478 110956 305129 422077 610258 844154 1137299 1220516 1688308 2274598 4549196 4642847 9285694 12510289 17305157 18571388 25020578 34610314 50041156 69220628 190356727 380713454 761426908 11707993903 23415987806 46831975612 128787932933 257575865866 480027750023 515151731732 960055500046 1920111000092 5280305250253 10560610500506 21121221001012