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12221405640 = 2332533948349
BaseRepresentation
bin10110110000111001…
…11101100111001000
31011112201201201210100
423120130331213020
5200012134440030
65340415045400
7611600143143
oct133034754710
934481651710
1012221405640
115201734a44
122450b10860
1311c9ca4c92
1483d1b305a
154b7e07360
hex2d873d9c8

12221405640 has 48 divisors (see below), whose sum is σ = 39719569500. Its totient is φ = 3259041408.

The previous prime is 12221405563. The next prime is 12221405641. The reversal of 12221405640 is 4650412221.

12221405640 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 14 + 0 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11366544996 + 854860644 = 106614^2 + 29238^2 .

It is not an unprimeable number, because it can be changed into a prime (12221405641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16973815 + ... + 16974534.

Almost surely, 212221405640 is an apocalyptic number.

12221405640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221405640 is an abundant number, since it is smaller than the sum of its proper divisors (27498163860).

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

12221405640 is a wasteful number, since it uses less digits than its factorization.

12221405640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33948366 (or 33948359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12221405640 its reverse (4650412221), we get a palindrome (16871817861).

The spelling of 12221405640 in words is "twelve billion, two hundred twenty-one million, four hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33948349 67896698 101845047 135793396 169741745 203690094 271586792 305535141 339483490 407380188 509225235 611070282 678966980 814760376 1018450470 1222140564 1357933960 1527675705 2036900940 2444281128 3055351410 4073801880 6110702820 12221405640