Search a number
-
+
1212000101220 = 2235281557312899
BaseRepresentation
bin10001101000110000110…
…101011110001101100100
311021212101101000102011210
4101220300311132031210
5124324134011214340
62324441332231420
7153364330610616
oct21506065361544
94255341012153
101212000101220
11428008507817
12176a8846b570
138a3a278660c
1442938170db6
15217d847b180
hex11a30d5e364

1212000101220 has 96 divisors (see below), whose sum is σ = 3406552329600. Its totient is φ = 321967098880.

The previous prime is 1212000101203. The next prime is 1212000101227. The reversal of 1212000101220 is 221010002121.

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

It is a junction number, because it is equal to n+sod(n) for n = 1212000101196 and 1212000101205.

It is not an unprimeable number, because it can be changed into a prime (1212000101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93954331 + ... + 93967229.

It is an arithmetic number, because the mean of its divisors is an integer number (35484920100).

Almost surely, 21212000101220 is an apocalyptic number.

1212000101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212000101220 is an abundant number, since it is smaller than the sum of its proper divisors (2194552228380).

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

1212000101220 is a wasteful number, since it uses less digits than its factorization.

1212000101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18765 (or 18763 counting only the distinct ones).

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

Adding to 1212000101220 its reverse (221010002121), we get a palindrome (1433010103341).

Subtracting from 1212000101220 its reverse (221010002121), we obtain a palindrome (990990099099).

The spelling of 1212000101220 in words is "one trillion, two hundred twelve billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 281 562 843 1124 1405 1686 2810 3372 4215 5573 5620 8430 11146 12899 16719 16860 22292 25798 27865 33438 38697 51596 55730 64495 66876 77394 83595 111460 128990 154788 167190 193485 257980 334380 386970 773940 1566013 3132026 3624619 4698039 6264052 7249238 7830065 9396078 10873857 14498476 15660130 18123095 18792156 21747714 23490195 31320260 36246190 43495428 46980390 54369285 71886127 72492380 93960780 108738570 143772254 215658381 217477140 287544508 359430635 431316762 718861270 862633524 1078291905 1437722540 2156583810 4313167620 20200001687 40400003374 60600005061 80800006748 101000008435 121200010122 202000016870 242400020244 303000025305 404000033740 606000050610 1212000101220