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121222220202 = 232891012932557
BaseRepresentation
bin111000011100101101…
…0000100100110101010
3102120220011222211102100
41300321122010212222
53441230342021302
6131404432514230
711520666604416
oct1607132044652
9376804884370
10121222220202
1147456868266
121b5b10ab976
13b57b48b6a5
145c1d7bbd46
15324742ed1c
hex1c396849aa

121222220202 has 96 divisors (see below), whose sum is σ = 269249657040. Its totient is φ = 39407385600.

The previous prime is 121222220183. The next prime is 121222220221. The reversal of 121222220202 is 202022222121.

121222220202 is a `hidden beast` number, since 1 + 21 + 222 + 220 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (121222220183) and next prime (121222220221).

It can be written as a sum of positive squares in 8 ways, for example, as 101225149281 + 19997070921 = 318159^2 + 141411^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47406708 + ... + 47409264.

Almost surely, 2121222220202 is an apocalyptic number.

121222220202 is an abundant number, since it is smaller than the sum of its proper divisors (148027436838).

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

121222220202 is a wasteful number, since it uses less digits than its factorization.

121222220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 121222220202 its reverse (202022222121), we get a palindrome (323244442323).

The spelling of 121222220202 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 89 101 178 202 267 293 303 534 586 606 801 879 909 1602 1758 1818 2557 2637 5114 5274 7671 8989 15342 17978 23013 26077 26967 29593 46026 52154 53934 59186 78231 80901 88779 156462 161802 177558 227573 234693 258257 266337 455146 469386 516514 532674 682719 749201 774771 1365438 1498402 1549542 2048157 2247603 2324313 2633777 4096314 4495206 4648626 5267554 6742809 7901331 13485618 15802662 22984873 23703993 45969746 47407986 66678889 68954619 75669301 133357778 137909238 151338602 200036667 206863857 227007903 400073334 413727714 454015806 600110001 681023709 1200220002 1362047418 6734567789 13469135578 20203703367 40407406734 60611110101 121222220202