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12000332132120 = 2352926873850061
BaseRepresentation
bin1010111010100000101110…
…0010001010111100011000
31120111012221210001011102002
42232220023202022330120
53033103140011211440
641304513152500132
72345665263050513
oct256501342127430
946435853034362
1012000332132120
113907348705662
1214198b2b4a648
1369081b45ac77
142d6b67b57d7a
1515c25217a115
hexaea0b88af18

12000332132120 has 64 divisors (see below), whose sum is σ = 27942209971200. Its totient is φ = 4632884999680.

The previous prime is 12000332132071. The next prime is 12000332132167. The reversal of 12000332132120 is 2123123300021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12000332132092 and 12000332132101.

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, 1191890 + ... + 5041950.

It is an arithmetic number, because the mean of its divisors is an integer number (436597030800).

Almost surely, 212000332132120 is an apocalyptic number.

12000332132120 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 12000332132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971104985600).

12000332132120 is an abundant number, since it is smaller than the sum of its proper divisors (15941877839080).

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

12000332132120 is a wasteful number, since it uses less digits than its factorization.

12000332132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852788 (or 3852784 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12000332132120 its reverse (2123123300021), we get a palindrome (14123455432141).

The spelling of 12000332132120 in words is "twelve trillion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2687 5374 10748 13435 21496 26870 53740 77923 107480 155846 311692 389615 623384 779230 1558460 3116920 3850061 7700122 15400244 19250305 30800488 38500610 77001220 111651769 154002440 223303538 446607076 558258845 893214152 1116517690 2233035380 4466070760 10345113907 20690227814 41380455628 51725569535 82760911256 103451139070 206902278140 300008303303 413804556280 600016606606 1200033213212 1500041516515 2400066426424 3000083033030 6000166066060 12000332132120