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201201220000 = 2554112711171
BaseRepresentation
bin1011101101100010000…
…1101111100110100000
3201020100001120222120001
42323120201233212200
511244030003020000
6232233000225344
720351645103064
oct2733041574640
9636301528501
10201201220000
1178368930600
1232bb1a6b254
1315c8614ca41
149a4984baa4
155378b5146a
hex2ed886f9a0

201201220000 has 360 divisors, whose sum is σ = 552208811616. Its totient is φ = 72072000000.

The previous prime is 201201219997. The next prime is 201201220027. The reversal of 201201220000 is 22102102.

201201220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 171819415 + ... + 171820585.

Almost surely, 2201201220000 is an apocalyptic number.

201201220000 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 201201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276104405808).

201201220000 is an abundant number, since it is smaller than the sum of its proper divisors (351007591616).

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

201201220000 is a wasteful number, since it uses less digits than its factorization.

201201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1260 counting only the distinct ones).

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

Adding to 201201220000 its reverse (22102102), we get a palindrome (201223322102).

It can be divided in two parts, 201201 and 220000, that added together give a square (421201 = 6492).

The spelling of 201201220000 in words is "two hundred one billion, two hundred one million, two hundred twenty thousand".