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210002001220000 = 2554117912082969
BaseRepresentation
bin101111101111111011100110…
…101011110101000110100000
31000112112222212112111211011001
4233233323212223311012200
5210011133044303020000
62022345330523401344
762143100234034553
oct5757734653650640
91015488775454131
10210002001220000
1160a05391a475a0
121b677965383254
139024146bcab42
1439c021884869a
151942979a3646a
hexbefee6af51a0

210002001220000 has 240 divisors, whose sum is σ = 570737637993600. Its totient is φ = 75397720320000.

The previous prime is 210002001219977. The next prime is 210002001220007. The reversal of 210002001220000 is 22100200012.

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

It is not an unprimeable number, because it can be changed into a prime (210002001220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11338516 + ... + 23421484.

It is an arithmetic number, because the mean of its divisors is an integer number (2378073491640).

Almost surely, 2210002001220000 is an apocalyptic number.

210002001220000 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 210002001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285368818996800).

210002001220000 is an abundant number, since it is smaller than the sum of its proper divisors (360735636773600).

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

210002001220000 is a wasteful number, since it uses less digits than its factorization.

210002001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083089 (or 12083066 counting only the distinct ones).

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

Adding to 210002001220000 its reverse (22100200012), we get a palindrome (210024101420012).

The spelling of 210002001220000 in words is "two hundred ten trillion, two billion, one million, two hundred twenty thousand".