Search a number
-
+
12221121012210 = 23251112344566679
BaseRepresentation
bin1011000111010111001110…
…0100111010000111110010
31121021022211221021101012100
42301311303210322013302
53100212323434342320
641554145552441230
72400642525422415
oct261656344720762
947238757241170
1012221121012210
113991a482310a0
121454650849216
136a85a6713406
14303710bd3b7c
15162d75747790
hexb1d7393a1f2

12221121012210 has 48 divisors (see below), whose sum is σ = 34663543237440. Its totient is φ = 2962696002720.

The previous prime is 12221121012193. The next prime is 12221121012211. The reversal of 12221121012210 is 1221012112221.

12221121012210 is a `hidden beast` number, since 1 + 22 + 211 + 210 + 1 + 221 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12221121012211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6172282350 + ... + 6172284329.

It is an arithmetic number, because the mean of its divisors is an integer number (722157150780).

Almost surely, 212221121012210 is an apocalyptic number.

12221121012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221121012210 is an abundant number, since it is smaller than the sum of its proper divisors (22442422225230).

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

12221121012210 is a wasteful number, since it uses less digits than its factorization.

12221121012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12344566703 (or 12344566700 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221121012210 its reverse (1221012112221), we get a palindrome (13442133124431).

It can be divided in two parts, 1222112 and 1012210, that added together give a palindrome (2234322).

The spelling of 12221121012210 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12344566679 24689133358 37033700037 61722833395 74067400074 111101100111 123445666790 135790233469 185168500185 222202200222 271580466938 370337000370 407370700407 555505500555 678951167345 814741400814 1111011001110 1222112101221 1357902334690 2036853502035 2444224202442 4073707004070 6110560506105 12221121012210