Search a number
-
+
1221100201220 = 225598915537487
BaseRepresentation
bin10001110001001111001…
…111100110010100000100
311022201212120110101120112
4101301033033212110010
5130001303122414340
62332544331052152
7154136000311454
oct21611717462404
94281776411515
101221100201220
11430958258619
121787a7ba1058
138b1c2bb3a83
144315c9a1d64
1521b6c32c065
hex11c4f3e6504

1221100201220 has 96 divisors (see below), whose sum is σ = 2639124633600. Its totient is φ = 474397282304.

The previous prime is 1221100201207. The next prime is 1221100201229. The reversal of 1221100201220 is 221020011221.

It is a junction number, because it is equal to n+sod(n) for n = 1221100201195 and 1221100201204.

It is not an unprimeable number, because it can be changed into a prime (1221100201229) 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, 163092317 + ... + 163099803.

It is an arithmetic number, because the mean of its divisors is an integer number (27490881600).

Almost surely, 21221100201220 is an apocalyptic number.

1221100201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221100201220 is an abundant number, since it is smaller than the sum of its proper divisors (1418024432380).

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

1221100201220 is a wasteful number, since it uses less digits than its factorization.

1221100201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221100201220 its reverse (221020011221), we get a palindrome (1442120212441).

The spelling of 1221100201220 in words is "one trillion, two hundred twenty-one billion, one hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 59 89 118 178 236 295 356 445 590 890 1180 1553 1780 3106 5251 6212 7487 7765 10502 14974 15530 21004 26255 29948 31060 37435 52510 74870 91627 105020 138217 149740 183254 276434 366508 441733 458135 552868 666343 691085 883466 916270 1332686 1382170 1766932 1832540 2208665 2665372 2764340 3331715 4417330 6663430 8154803 8834660 11627311 13326860 16309606 23254622 32619212 39314237 40774015 46509244 58136555 78628474 81548030 116273110 157256948 163096060 196571185 232546220 393142370 686011349 786284740 1034830679 1372022698 2069661358 2744045396 3430056745 4139322716 5174153395 6860113490 10348306790 13720226980 20696613580 61055010061 122110020122 244220040244 305275050305 610550100610 1221100201220