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20201212221012 = 223217237208925121
BaseRepresentation
bin1001001011111011101100…
…00101000001011001010100
32122112012212012202101202200
410211331312011001121110
510121434040312033022
6110544150410204500
74153326604463634
oct445756605013124
978465765671680
1020201212221012
116489316721889
122323169123730
13b36c737b5b44
144dba5b3306c4
1525072e95bbac
hex125f76141654

20201212221012 has 216 divisors, whose sum is σ = 55739601797880. Its totient is φ = 6163150602240.

The previous prime is 20201212221007. The next prime is 20201212221023. The reversal of 20201212221012 is 21012221210202.

It is a happy number.

20201212221012 is a `hidden beast` number, since 20 + 201 + 212 + 221 + 0 + 12 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2048550988176 + 18152661232836 = 1431276^2 + 4260594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 804143812 + ... + 804168932.

Almost surely, 220201212221012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201212221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869800898940).

20201212221012 is an abundant number, since it is smaller than the sum of its proper divisors (35538389576868).

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

20201212221012 is a wasteful number, since it uses less digits than its factorization.

20201212221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27291 (or 27269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20201212221012 its reverse (21012221210202), we get a palindrome (41213433431214).

The spelling of 20201212221012 in words is "twenty trillion, two hundred one billion, two hundred twelve million, two hundred twenty-one thousand, twelve".