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12411211340 = 22511409137933
BaseRepresentation
bin10111000111100010…
…00000111001001100
31012000221212212021002
423203301000321030
5200404232230330
65411315155432
7616363361423
oct134361007114
935027785232
1012411211340
115299894860
1224a45a5b78
13122a400148
1485a4a02ba
154c98eae45
hex2e3c40e4c

12411211340 has 48 divisors (see below), whose sum is σ = 28502681760. Its totient is φ = 4502100480.

The previous prime is 12411211327. The next prime is 12411211343. The reversal of 12411211340 is 4311211421.

It is a super-2 number, since 2×124112113402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12411211343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21014 + ... + 158946.

It is an arithmetic number, because the mean of its divisors is an integer number (593805870).

Almost surely, 212411211340 is an apocalyptic number.

12411211340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251340880).

12411211340 is an abundant number, since it is smaller than the sum of its proper divisors (16091470420).

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

12411211340 is a wasteful number, since it uses less digits than its factorization.

12411211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138362 (or 138360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12411211340 its reverse (4311211421), we get a palindrome (16722422761).

The spelling of 12411211340 in words is "twelve billion, four hundred eleven million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 1636 2045 4090 4499 8180 8998 17996 22495 44990 89980 137933 275866 551732 689665 1379330 1517263 2758660 3034526 6069052 7586315 15172630 30345260 56414597 112829194 225658388 282072985 564145970 620560567 1128291940 1241121134 2482242268 3102802835 6205605670 12411211340