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211212220220000 = 255437970939301
BaseRepresentation
bin110000000001100010101101…
…010110111100001001100000
31000200211200122210001220202222
4300001202231112330021200
5210141000111334020000
62025113315432530212
762326402466562536
oct6001425526741140
91020750583056688
10211212220220000
116133166602862a
121b832415250968
1390b12c46804bc
143a22a24222156
1519641ab93da85
hexc018ad5bc260

211212220220000 has 240 divisors, whose sum is σ = 521732847358800. Its totient is φ = 84140985600000.

The previous prime is 211212220219997. The next prime is 211212220220011. The reversal of 211212220220000 is 22022212112.

It is a happy number.

It is a super-2 number, since 2×2112122202200002 (a number of 29 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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5374200350 + ... + 5374239650.

It is an arithmetic number, because the mean of its divisors is an integer number (2173886863995).

Almost surely, 2211212220220000 is an apocalyptic number.

211212220220000 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 211212220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260866423679400).

211212220220000 is an abundant number, since it is smaller than the sum of its proper divisors (310520627138800).

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

211212220220000 is an equidigital number, since it uses as much as digits as its factorization.

211212220220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40419 (or 40396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211212220220000 its reverse (22022212112), we get a palindrome (211234242432112).

The spelling of 211212220220000 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty thousand".