Search a number
-
+
12222120313312 = 257134197156701
BaseRepresentation
bin1011000111011010111100…
…1000111100000111100000
31121021102102120122010121021
42301312233020330013200
53100221400300011222
641554433051135224
72401006351352620
oct261665710740740
947242376563537
1012222120313312
113992410317878
12145488b444514
136a8705767440
143037a77dc880
15162dd333bac7
hexb1daf23c1e0

12222120313312 has 48 divisors (see below), whose sum is σ = 29615137689312. Its totient is φ = 4835124518400.

The previous prime is 12222120313297. The next prime is 12222120313343. The reversal of 12222120313312 is 21331302122221.

12222120313312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2098575439 + ... + 2098581262.

It is an arithmetic number, because the mean of its divisors is an integer number (616982035194).

Almost surely, 212222120313312 is an apocalyptic number.

It is an amenable number.

12222120313312 is an abundant number, since it is smaller than the sum of its proper divisors (17393017376000).

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

12222120313312 is a wasteful number, since it uses less digits than its factorization.

12222120313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197156731 (or 4197156723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12222120313312 its reverse (21331302122221), we get a palindrome (33553422435533).

The spelling of 12222120313312 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4197156701 8394313402 16788626804 29380096907 33577253608 54563037113 58760193814 67154507216 109126074226 117520387628 134309014432 218252148452 235040775256 381941259791 436504296904 470081550512 763882519582 873008593808 940163101024 1527765039164 1746017187616 3055530078328 6111060156656 12222120313312