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212021001212020 = 2257111347976928751
BaseRepresentation
bin110000001101010011111100…
…011101100101000001110100
31000210201000021010012021022021
4300031103330131211001310
5210242223002302241040
62030533034152242524
762442004026563440
oct6015237435450164
91023630233167267
10212021001212020
1161613668898620
121b9431103a0444
13913c6578c9130
143a4dc2a86d820
15197a245a9b24a
hexc0d4fc765074

212021001212020 has 384 divisors, whose sum is σ = 599858174361600. Its totient is φ = 60792422400000.

The previous prime is 212021001211993. The next prime is 212021001212071. The reversal of 212021001212020 is 20212100120212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212021001211985 and 212021001212003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7374372645 + ... + 7374401395.

It is an arithmetic number, because the mean of its divisors is an integer number (1562130662400).

Almost surely, 2212021001212020 is an apocalyptic number.

212021001212020 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 212021001212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299929087180800).

212021001212020 is an abundant number, since it is smaller than the sum of its proper divisors (387837173149580).

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

212021001212020 is a wasteful number, since it uses less digits than its factorization.

212021001212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30039 (or 30037 counting only the distinct ones).

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

Adding to 212021001212020 its reverse (20212100120212), we get a palindrome (232233101332232).

The spelling of 212021001212020 in words is "two hundred twelve trillion, twenty-one billion, one million, two hundred twelve thousand, twenty".