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200212120201012 = 2217295310127976781
BaseRepresentation
bin101101100001011110000100…
…010011011110011100110100
3222020220002110220012202012121
4231201132010103132130310
5202220233410232413022
61545452102301325324
760112563660264523
oct5541360423363464
9866802426182177
10200212120201012
11588805353749a7
121a556549b66844
138793bca60a11a
1437624656924ba
151822e9b5c92c7
hexb617844de734

200212120201012 has 192 divisors, whose sum is σ = 395085623768640. Its totient is φ = 88323895296000.

The previous prime is 200212120200979. The next prime is 200212120201019. The reversal of 200212120201012 is 210102021212002.

It is a happy number.

200212120201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 3171270009636 + 197040850191376 = 1780806^2 + 14037124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212120201019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29525453062 + ... + 29525459842.

It is an arithmetic number, because the mean of its divisors is an integer number (2057737623795).

Almost surely, 2200212120201012 is an apocalyptic number.

It is an amenable number.

200212120201012 is a deficient number, since it is larger than the sum of its proper divisors (194873503567628).

200212120201012 is a wasteful number, since it uses less digits than its factorization.

200212120201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212120201012 its reverse (210102021212002), we get a palindrome (410314141413014).

The spelling of 200212120201012 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred one thousand, twelve".