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120010333312 = 274322439721
BaseRepresentation
bin110111111000100101…
…1000101110010000000
3102110202201121121010201
41233301023011302000
53431240121131222
6131044301534544
711445653000452
oct1576113056200
9373681547121
10120010333312
1146994782751
121b313274454
13b41739485c
145b468762d2
1531c5d47427
hex1bf12c5c80

120010333312 has 64 divisors (see below), whose sum is σ = 244777404960. Its totient is φ = 58577541120.

The previous prime is 120010333291. The next prime is 120010333321. The reversal of 120010333312 is 213333010021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 120010333312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12340612 + ... + 12350332.

Almost surely, 2120010333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122388702480).

120010333312 is an abundant number, since it is smaller than the sum of its proper divisors (124767071648).

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

120010333312 is an equidigital number, since it uses as much as digits as its factorization.

120010333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 120010333312 its reverse (213333010021), we get a palindrome (333343343333).

The spelling of 120010333312 in words is "one hundred twenty billion, ten million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2243 2752 4486 5504 8972 9721 17944 19442 35888 38884 71776 77768 96449 143552 155536 192898 287104 311072 385796 418003 622144 771592 836006 1244288 1543184 1672012 3086368 3344024 6172736 6688048 12345472 13376096 21804203 26752192 43608406 53504384 87216812 174433624 348867248 697734496 937580729 1395468992 1875161458 2790937984 3750322916 7500645832 15001291664 30002583328 60005166656 120010333312