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20210120200000 = 265517101229257
BaseRepresentation
bin1001001100001100010010…
…00010010000111101000000
32122120001212000200121200101
410212012021002100331000
510122110311232400000
6110552222343132144
74154063422164103
oct446061102207500
978501760617611
1020210120200000
116492077a81295
122324a34444054
13b37a63187323
144dc26443073a
15250aa1a0ce6a
hex126189090f40

20210120200000 has 672 divisors, whose sum is σ = 54045081830880. Its totient is φ = 7471104000000.

The previous prime is 20210120199977. The next prime is 20210120200013. The reversal of 20210120200000 is 202101202.

It can be written as a sum of positive squares in 48 ways, for example, as 18626267745856 + 1583852454144 = 4315816^2 + 1258512^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20210120200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78638599872 + ... + 78638600128.

It is an arithmetic number, because the mean of its divisors is an integer number (80424228915).

Almost surely, 220210120200000 is an apocalyptic number.

20210120200000 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 20210120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27022540915440).

20210120200000 is an abundant number, since it is smaller than the sum of its proper divisors (33834961630880).

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

20210120200000 is a wasteful number, since it uses less digits than its factorization.

20210120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20210120200000 its reverse (202101202), we get a palindrome (20210322301202).

20210120200000 divided by its reverse (202101202) gives a 5-th power (100000 = 105).

The spelling of 20210120200000 in words is "twenty trillion, two hundred ten billion, one hundred twenty million, two hundred thousand".