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12001121120 = 255433135573
BaseRepresentation
bin10110010110101001…
…01001001101100000
31010222101020010020102
423023110221031200
5144034241333440
65302505401532
7603253563212
oct131324511540
933871203212
1012001121120
1150a9357a1a
1223ab1992a8
131193467c01
1481bc305b2
154a38e2b15
hex2cb529360

12001121120 has 96 divisors (see below), whose sum is σ = 29109925152. Its totient is φ = 4672991232.

The previous prime is 12001121089. The next prime is 12001121149. The reversal of 12001121120 is 2112110021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150654 + ... + 2156226.

It is an arithmetic number, because the mean of its divisors is an integer number (303228387).

Almost surely, 212001121120 is an apocalyptic number.

12001121120 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 12001121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554962576).

12001121120 is an abundant number, since it is smaller than the sum of its proper divisors (17108804032).

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

12001121120 is a wasteful number, since it uses less digits than its factorization.

12001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12001121120 its reverse (2112110021), we get a palindrome (14113231141).

The spelling of 12001121120 in words is "twelve billion, one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 313 344 430 626 688 860 1252 1376 1565 1720 2504 3130 3440 5008 5573 6260 6880 10016 11146 12520 13459 22292 25040 26918 27865 44584 50080 53836 55730 67295 89168 107672 111460 134590 178336 215344 222920 239639 269180 430688 445840 479278 538360 891680 958556 1076720 1198195 1744349 1917112 2153440 2396390 3488698 3834224 4792780 6977396 7668448 8721745 9585560 13954792 17443490 19171120 27909584 34886980 38342240 55819168 69773960 75007007 139547920 150014014 279095840 300028028 375035035 600056056 750070070 1200112112 1500140140 2400224224 3000280280 6000560560 12001121120