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1200012020200 = 2352761113124351
BaseRepresentation
bin10001011101100110010…
…010100100100111101000
311020201102220022210121001
4101131212102210213220
5124130111034121300
62315140010124344
7152461262605240
oct21354622444750
94221386283531
101200012020200
11422a16557044
121746a17206b4
1389211c35c56
144211bd76b20
1521335cb216a
hex117664a49e8

1200012020200 has 192 divisors, whose sum is σ = 3269582161920. Its totient is φ = 401103360000.

The previous prime is 1200012020191. The next prime is 1200012020209. The reversal of 1200012020200 is 20202100021.

It is an interprime number because it is at equal distance from previous prime (1200012020191) and next prime (1200012020209).

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 (1200012020209) 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, 9588025 + ... + 9712375.

It is an arithmetic number, because the mean of its divisors is an integer number (17029073760).

Almost surely, 21200012020200 is an apocalyptic number.

1200012020200 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 1200012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634791080960).

1200012020200 is an abundant number, since it is smaller than the sum of its proper divisors (2069570141720).

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

1200012020200 is a wasteful number, since it uses less digits than its factorization.

1200012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124548 (or 124539 counting only the distinct ones).

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

Adding to 1200012020200 its reverse (20202100021), we get a palindrome (1220214120221).

The spelling of 1200012020200 in words is "one trillion, two hundred billion, twelve million, twenty thousand, two hundred".