Search a number
-
+
121212211100 = 225215728327281
BaseRepresentation
bin111000011100011001…
…1111000111110011100
3102120212111011022111212
41300320303320332130
53441220311223400
6131403434203552
711520515536361
oct1607063707634
9376774138455
10121212211100
1147451151282
121b5a98835b8
13b579395946
145c1c334468
153246604335
hex1c38cf8f9c

121212211100 has 72 divisors (see below), whose sum is σ = 265650945168. Its totient is φ = 48004070400.

The previous prime is 121212211079. The next prime is 121212211117. The reversal of 121212211100 is 1112212121.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4429460 + ... + 4456740.

Almost surely, 2121212211100 is an apocalyptic number.

121212211100 is a gapful number since it is divisible by the number (10) 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 121212211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132825472584).

121212211100 is an abundant number, since it is smaller than the sum of its proper divisors (144438734068).

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

121212211100 is a wasteful number, since it uses less digits than its factorization.

121212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27735 (or 27728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121212211100 its reverse (1112212121), we get a palindrome (122324423221).

The spelling of 121212211100 in words is "one hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 283 314 566 628 785 1132 1415 1570 2830 3140 3925 5660 7075 7850 14150 15700 27281 28300 44431 54562 88862 109124 136405 177724 222155 272810 444310 545620 682025 888620 1110775 1364050 2221550 2728100 4283117 4443100 7720523 8566234 15441046 17132468 21415585 30882092 38602615 42831170 77205230 85662340 107077925 154410460 193013075 214155850 386026150 428311700 772052300 1212122111 2424244222 4848488444 6060610555 12121221110 24242442220 30303052775 60606105550 121212211100