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1000020211200 = 29335213721121
BaseRepresentation
bin11101000110101011101…
…10010111011000000000
310112121020010110021001000
432203111312113120000
5112341020133224300
62043223011412000
7132151301354553
oct16432566273000
93477203407030
101000020211200
1135611937a96a
121419888b4000
13733bc52412a
1436588dc869a
151b02d409c00
hexe8d5d97600

1000020211200 has 480 divisors, whose sum is σ = 3697527762720. Its totient is φ = 264713011200.

The previous prime is 1000020211193. The next prime is 1000020211207. The reversal of 1000020211200 is 21120200001.

It is an interprime number because it is at equal distance from previous prime (1000020211193) and next prime (1000020211207).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020211207) 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 47 ways as a sum of consecutive naturals, for example, 47336640 + ... + 47357760.

It is an arithmetic number, because the mean of its divisors is an integer number (7703182839).

Almost surely, 21000020211200 is an apocalyptic number.

1000020211200 is a gapful number since it is divisible by the number (10) 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 1000020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848763881360).

1000020211200 is an abundant number, since it is smaller than the sum of its proper divisors (2697507551520).

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

1000020211200 is a wasteful number, since it uses less digits than its factorization.

1000020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21295 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000020211200 its reverse (21120200001), we get a palindrome (1021140411201).

The spelling of 1000020211200 in words is "one trillion, twenty million, two hundred eleven thousand, two hundred".