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2122020020000 = 2554232200569
BaseRepresentation
bin11110111000010010001…
…111111101111100100000
321111212022020001002222002
4132320102033331330200
5234231344111120000
64302501553303132
7306211430363426
oct36702217757440
97455266032862
102122020020000
11748a41a86921
122a3318264aa8
1312514b0b533a
14749c61c3116
153a2ea49c8d5
hex1ee123fdf20

2122020020000 has 180 divisors, whose sum is σ = 5457361077630. Its totient is φ = 811899264000.

The previous prime is 2122020019991. The next prime is 2122020020011. The reversal of 2122020020000 is 200202212.

It can be written as a sum of positive squares in 5 ways, for example, as 6659212816 + 2115360807184 = 81604^2 + 1454428^2 .

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 29 ways as a sum of consecutive naturals, for example, 10479716 + ... + 10680284.

Almost surely, 22122020020000 is an apocalyptic number.

2122020020000 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 2122020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728680538815).

2122020020000 is an abundant number, since it is smaller than the sum of its proper divisors (3335341057630).

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

2122020020000 is an equidigital number, since it uses as much as digits as its factorization.

2122020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200645 (or 200599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2122020020000 its reverse (200202212), we get a palindrome (2122220222212).

The spelling of 2122020020000 in words is "two trillion, one hundred twenty-two billion, twenty million, twenty thousand".