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20012200020000 = 253254891249201
BaseRepresentation
bin1001000110011011101000…
…00100101100100000100000
32121212010222121221201212100
410203031310010230200200
510110334441201120000
6110321251110530400
74133555654335206
oct443156404544040
977763877851770
1020012200020000
1164161432156a1
1222b25b9366a00
13b221b0a0b996
144d284a665076
1524a86ae66a00
hex12337412c820

20012200020000 has 360 divisors, whose sum is σ = 71913448627020. Its totient is φ = 5276620800000.

The previous prime is 20012200019993. The next prime is 20012200020013. The reversal of 20012200020000 is 2000221002.

It can be written as a sum of positive squares in 10 ways, for example, as 1310484615696 + 18701715404304 = 1144764^2 + 4324548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15395400 + ... + 16644600.

Almost surely, 220012200020000 is an apocalyptic number.

20012200020000 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 20012200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35956724313510).

20012200020000 is an abundant number, since it is smaller than the sum of its proper divisors (51901248607020).

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

20012200020000 is a wasteful number, since it uses less digits than its factorization.

20012200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249326 (or 1249300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20012200020000 its reverse (2000221002), we get a palindrome (20014200241002).

The spelling of 20012200020000 in words is "twenty trillion, twelve billion, two hundred million, twenty thousand".