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12020323001220 = 22325125117533737
BaseRepresentation
bin1010111011101011001100…
…0101010010001110000100
31120120010112222101112102100
42232322303011102032010
53033420110142014340
641322020554312100
72350303544454642
oct256726305221604
946503488345370
1012020323001220
113914876a68486
121421751a28630
13692685c897b1
142d7b02b44192
1515ca221e0830
hexaeeb3152384

12020323001220 has 72 divisors (see below), whose sum is σ = 36462006171864. Its totient is φ = 3205387842048.

The previous prime is 12020323001191. The next prime is 12020323001299. The reversal of 12020323001220 is 2210032302021.

12020323001220 is a `hidden beast` number, since 12 + 0 + 203 + 230 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 682933654404 + 11337389346816 = 826398^2 + 3367104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12020323001193 and 12020323001202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22254192 + ... + 22787928.

It is an arithmetic number, because the mean of its divisors is an integer number (506416752387).

Almost surely, 212020323001220 is an apocalyptic number.

12020323001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020323001220 is an abundant number, since it is smaller than the sum of its proper divisors (24441683170644).

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

12020323001220 is a wasteful number, since it uses less digits than its factorization.

12020323001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658869 (or 658864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12020323001220 its reverse (2210032302021), we get a palindrome (14230355303241).

The spelling of 12020323001220 in words is "twelve trillion, twenty billion, three hundred twenty-three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 125117 250234 375351 500468 533737 625585 750702 1067474 1126053 1251170 1501404 1601211 1876755 2134948 2252106 2502340 2668685 3202422 3753510 4504212 4803633 5337370 5630265 6404844 7507020 8006055 9607266 10674740 11260530 16012110 19214532 22521060 24018165 32024220 48036330 96072660 66779572229 133559144458 200338716687 267118288916 333897861145 400677433374 601016150061 667795722290 801354866748 1001693583435 1202032300122 1335591444580 2003387166870 2404064600244 3005080750305 4006774333740 6010161500610 12020323001220