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12092212896 = 253738320789
BaseRepresentation
bin10110100001100000…
…01000011010100000
31011012201122001122220
423100300020122200
5144231101303041
65315522031040
7605441054001
oct132060103240
934181561586
1012092212896
115145814585
1224157a8480
1311a92aca7a
14829d831a8
154ab8d7d66
hex2d0c086a0

12092212896 has 96 divisors (see below), whose sum is σ = 32566121280. Its totient is φ = 3927435264.

The previous prime is 12092212889. The next prime is 12092212907. The reversal of 12092212896 is 69821229021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120922128962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571270 + ... + 592058.

It is an arithmetic number, because the mean of its divisors is an integer number (339230430).

Almost surely, 212092212896 is an apocalyptic number.

12092212896 is a gapful number since it is divisible by the number (16) 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 12092212896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283060640).

12092212896 is an abundant number, since it is smaller than the sum of its proper divisors (20473908384).

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

12092212896 is a wasteful number, since it uses less digits than its factorization.

12092212896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 12092212896 in words is "twelve billion, ninety-two million, two hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 83 96 146 166 219 249 292 332 438 498 584 664 876 996 1168 1328 1752 1992 2336 2656 3504 3984 6059 7008 7968 12118 18177 20789 24236 36354 41578 48472 62367 72708 83156 96944 124734 145416 166312 193888 249468 290832 332624 498936 581664 665248 997872 1517597 1725487 1995744 3035194 3450974 4552791 5176461 6070388 6901948 9105582 10352922 12140776 13803896 18211164 20705844 24281552 27607792 36422328 41411688 48563104 55215584 72844656 82823376 125960551 145689312 165646752 251921102 377881653 503842204 755763306 1007684408 1511526612 2015368816 3023053224 4030737632 6046106448 12092212896