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20001212020020 = 22357119834404137
BaseRepresentation
bin1001000110000111001010…
…01000110011010100110100
32121211002121212002111120010
410203003211020303110310
510110144440234120040
6110312232511540220
74133016452021640
oct443034510632464
977732555074503
1020001212020020
116411514833680
1222b045152a670
13b2114c42634a
144d20c71d9c20
1524a426497e80
hex1230e5233534

20001212020020 has 192 divisors, whose sum is σ = 69893458661376. Its totient is φ = 4151867089920.

The previous prime is 20001212020019. The next prime is 20001212020021. The reversal of 20001212020020 is 2002021210002.

It is an interprime number because it is at equal distance from previous prime (20001212020019) and next prime (20001212020021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20001212019978 and 20001212020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001212020021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2339392 + ... + 6743528.

It is an arithmetic number, because the mean of its divisors is an integer number (364028430528).

Almost surely, 220001212020020 is an apocalyptic number.

20001212020020 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 20001212020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34946729330688).

20001212020020 is an abundant number, since it is smaller than the sum of its proper divisors (49892246641356).

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

20001212020020 is a wasteful number, since it uses less digits than its factorization.

20001212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405150 (or 4405148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20001212020020 its reverse (2002021210002), we get a palindrome (22003233230022).

The spelling of 20001212020020 in words is "twenty trillion, one billion, two hundred twelve million, twenty thousand, twenty".