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201000121212 = 2231119641125029
BaseRepresentation
bin1011101100110010001…
…0100111001101111100
3201012211001012002212210
42323030202213031330
511243122012334322
6232201014100420
720343653561202
oct2731442471574
9635731162783
10201000121212
1178275368060
1232b5664a710
1315c5359c587
149a2ac61072
15536617b70c
hex2ecc8a737c

201000121212 has 96 divisors (see below), whose sum is σ = 539409427200. Its totient is φ = 57612902400.

The previous prime is 201000121207. The next prime is 201000121219. The reversal of 201000121212 is 212121000102.

201000121212 is digitally balanced in base 3, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000121219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545114 + ... + 1670142.

It is an arithmetic number, because the mean of its divisors is an integer number (5618848200).

Almost surely, 2201000121212 is an apocalyptic number.

201000121212 is a gapful number since it is divisible by the number (22) 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 201000121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269704713600).

201000121212 is an abundant number, since it is smaller than the sum of its proper divisors (338409305988).

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

201000121212 is a wasteful number, since it uses less digits than its factorization.

201000121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125707 (or 125705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000121212 its reverse (212121000102), we get a palindrome (413121121314).

The spelling of 201000121212 in words is "two hundred one billion, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 641 836 1254 1282 1923 2508 2564 3846 7051 7692 12179 14102 21153 24358 28204 36537 42306 48716 73074 84612 125029 133969 146148 250058 267938 375087 401907 500116 535876 750174 803814 1375319 1500348 1607628 2375551 2750638 4125957 4751102 5501276 7126653 8251914 9502204 14253306 16503828 26131061 28506612 52262122 78393183 80143589 104524244 156786366 160287178 240430767 313572732 320574356 480861534 881579479 961723068 1522728191 1763158958 2644738437 3045456382 3526317916 4568184573 5289476874 6090912764 9136369146 10578953748 16750010101 18272738292 33500020202 50250030303 67000040404 100500060606 201000121212