Search a number
-
+
201222000012 = 2231117345725939
BaseRepresentation
bin1011101101100111000…
…1000000110110001100
3201020101111200201101010
42323121301000312030
511244100313000022
6232235021445220
720352316531155
oct2733161006614
9636344621333
10201222000012
1178379633970
1232bb8a10810
1315c8a5471c7
149a4c4da92c
15537a8a850c
hex2ed9c40d8c

201222000012 has 96 divisors (see below), whose sum is σ = 542508744960. Its totient is φ = 57370705920.

The previous prime is 201221999989. The next prime is 201222000043. The reversal of 201222000012 is 210000222102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7744539 + ... + 7770477.

It is an arithmetic number, because the mean of its divisors is an integer number (5651132760).

Almost surely, 2201222000012 is an apocalyptic number.

201222000012 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 201222000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271254372480).

201222000012 is an abundant number, since it is smaller than the sum of its proper divisors (341286744948).

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

201222000012 is a wasteful number, since it uses less digits than its factorization.

201222000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29431 (or 29429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201222000012 its reverse (210000222102), we get a palindrome (411222222114).

The spelling of 201222000012 in words is "two hundred one billion, two hundred twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 3457 6914 10371 13828 20742 25939 38027 41484 51878 58769 76054 77817 103756 114081 117538 152108 155634 176307 228162 235076 285329 311268 352614 440963 456324 570658 646459 705228 855987 881926 1141316 1292918 1322889 1711974 1763852 1939377 2585836 2645778 3423948 3878754 4850593 5291556 7757508 9701186 14551779 19402372 29103558 58207116 89671123 179342246 269013369 358684492 538026738 986382353 1076053476 1524409091 1972764706 2959147059 3048818182 3945529412 4573227273 5918294118 6097636364 9146454546 11836588236 16768500001 18292909092 33537000002 50305500003 67074000004 100611000006 201222000012