Search a number
-
+
12121012221100 = 22521097625717659
BaseRepresentation
bin1011000001100010010010…
…1000001011010010101100
31120220202110011220212121021
42300120210220023102230
53042042313112033400
641440152141543524
72360466660635566
oct260304450132254
946822404825537
1012121012221100
11395354644a692
121439172574ba4
1369c011502943
142dc935534336
15160466bbd71a
hexb0624a0b4ac

12121012221100 has 72 divisors (see below), whose sum is σ = 26332271970480. Its totient is φ = 4842936760320.

The previous prime is 12121012221089. The next prime is 12121012221107. The reversal of 12121012221100 is 112221012121.

It is not an unprimeable number, because it can be changed into a prime (12121012221107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 686384071 + ... + 686401729.

It is an arithmetic number, because the mean of its divisors is an integer number (365725999590).

Almost surely, 212121012221100 is an apocalyptic number.

12121012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121012221100 is an abundant number, since it is smaller than the sum of its proper divisors (14211259749380).

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

12121012221100 is a wasteful number, since it uses less digits than its factorization.

12121012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121012221100 its reverse (112221012121), we get a palindrome (12233233233221).

The spelling of 12121012221100 in words is "twelve trillion, one hundred twenty-one billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1097 2194 4388 5485 6257 10970 12514 17659 21940 25028 27425 31285 35318 54850 62570 70636 88295 109700 125140 156425 176590 312850 353180 441475 625700 882950 1765900 6863929 13727858 19371923 27455716 34319645 38743846 68639290 77487692 96859615 110492363 137278580 171598225 193719230 220984726 343196450 387438460 441969452 484298075 552461815 686392900 968596150 1104923630 1937192300 2209847260 2762309075 5524618150 11049236300 121210122211 242420244422 484840488844 606050611055 1212101222110 2424202444220 3030253055275 6060506110550 12121012221100