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12000200212 = 22711134396827
BaseRepresentation
bin10110010110100010…
…01000011000010100
31010222022111022222201
423023101020120110
5144034022401322
65302433534244
7603243006310
oct131321103024
933868438881
1012000200212
1150a8889040
1223aaa14384
1311932049b0
1481ba70b40
154a37aed27
hex2cb448614

12000200212 has 96 divisors (see below), whose sum is σ = 28264642560. Its totient is φ = 4305294720.

The previous prime is 12000200171. The next prime is 12000200213. The reversal of 12000200212 is 21200200021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754343 + ... + 1761169.

It is an arithmetic number, because the mean of its divisors is an integer number (294423360).

Almost surely, 212000200212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132321280).

12000200212 is an abundant number, since it is smaller than the sum of its proper divisors (16264442348).

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

12000200212 is a wasteful number, since it uses less digits than its factorization.

12000200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7299 counting only the distinct ones).

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

Adding to 12000200212 its reverse (21200200021), we get a palindrome (33200400233).

It can be divided in two parts, 12000 and 200212, that added together give a palindrome (212212).

The spelling of 12000200212 in words is "twelve billion, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 439 572 878 1001 1756 2002 3073 4004 4829 5707 6146 6827 9658 11414 12292 13654 19316 22828 27308 33803 39949 47789 62777 67606 75097 79898 88751 95578 125554 135212 150194 159796 177502 191156 251108 300388 355004 439439 525679 621257 878878 976261 1051358 1242514 1757756 1952522 2102716 2485028 2997053 3905044 5994106 6833827 11988212 13667654 20979371 27335308 32967583 38961689 41958742 65935166 77923378 83917484 131870332 155846756 230773081 272731823 428578579 461546162 545463646 857157158 923092324 1090927292 1714314316 3000050053 6000100106 12000200212