Search a number
-
+
12122021010210 = 2352942073331171
BaseRepresentation
bin1011000001100110000011…
…0000011001101100100010
31120220212001111010200002220
42300121200300121230202
53042101344334311320
641440440215451510
72360533660333656
oct260314060315442
946825044120086
1012122021010210
113953a139268a1
1214393b4386b96
1369c1424c9487
142dc9cd4cca66
151604c5538e40
hexb0660c19b22

12122021010210 has 64 divisors (see below), whose sum is σ = 30096858372480. Its totient is φ = 3120988469760.

The previous prime is 12122021010167. The next prime is 12122021010223. The reversal of 12122021010210 is 1201012022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122021010210.

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 31 ways as a sum of consecutive naturals, for example, 36437925 + ... + 36769095.

It is an arithmetic number, because the mean of its divisors is an integer number (470263412070).

Almost surely, 212122021010210 is an apocalyptic number.

12122021010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122021010210 is an abundant number, since it is smaller than the sum of its proper divisors (17974837362270).

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

12122021010210 is a wasteful number, since it uses less digits than its factorization.

12122021010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373283.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122021010210 its reverse (1201012022121), we get a palindrome (13323033032331).

The spelling of 12122021010210 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 42073 84146 126219 210365 252438 331171 420730 631095 662342 993513 1220117 1262190 1655855 1987026 2440234 3311710 3660351 4967565 6100585 7320702 9603959 9935130 12201170 18301755 19207918 28811877 36603510 48019795 57623754 96039590 144059385 288118770 13933357483 27866714966 41800072449 69666787415 83600144898 139333574830 209000362245 404067367007 418000724490 808134734014 1212202101021 2020336835035 2424404202042 4040673670070 6061010505105 12122021010210