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200212120011012 = 2233710913929762273
BaseRepresentation
bin101101100001011110000100…
…010010110000000100000100
3222020220002110212212002120120
4231201132010102300010010
5202220233410210323022
61545452102253301540
760112563655543554
oct5541360422600404
9866802425762516
10200212120011012
115888053525517a
121a556549a948b0
138793bca5717b5
143762465643164
151822e9b58cd5c
hexb617844b0104

200212120011012 has 96 divisors (see below), whose sum is σ = 487672716854400. Its totient is φ = 63875073871872.

The previous prime is 200212120010983. The next prime is 200212120011017. The reversal of 200212120011012 is 210110021212002.

It is a junction number, because it is equal to n+sod(n) for n = 200212120010982 and 200212120011000.

It is not an unprimeable number, because it can be changed into a prime (200212120011017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154093 + ... + 21608180.

It is an arithmetic number, because the mean of its divisors is an integer number (5079924133900).

Almost surely, 2200212120011012 is an apocalyptic number.

It is an amenable number.

200212120011012 is an abundant number, since it is smaller than the sum of its proper divisors (287460596843388).

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

200212120011012 is a wasteful number, since it uses less digits than its factorization.

200212120011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29762565 (or 29762563 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200212120011012 its reverse (210110021212002), we get a palindrome (410322141223014).

The spelling of 200212120011012 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 109 111 139 148 218 222 278 327 417 436 444 556 654 834 1308 1668 4033 5143 8066 10286 12099 15151 15429 16132 20572 24198 30302 30858 45453 48396 60604 61716 90906 181812 560587 1121174 1681761 2242348 3363522 6727044 29762273 59524546 89286819 119049092 178573638 357147276 1101204101 2202408202 3244087757 3303612303 4136955947 4404816404 6488175514 6607224606 8273911894 9732263271 12410867841 12976351028 13214449212 16547823788 19464526542 24821735682 38929053084 49643471364 120031247009 153067370039 240062494018 306134740078 360093741027 450928198223 459202110117 480124988036 612269480156 720187482054 901856396446 918404220234 1352784594669 1440374964108 1803712792892 1836808440468 2705569189338 5411138378676 16684343334251 33368686668502 50053030002753 66737373337004 100106060005506 200212120011012