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120266394012 = 223243389199721
BaseRepresentation
bin111000000000001101…
…1111000100110011100
3102111102120102211101100
41300000123320212130
53432301144102022
6131125530113100
711455212324222
oct1600033704634
9374376384340
10120266394012
1147006275966
121b384b7b790
13b458449a6b
145b6c88cb12
1531dd5771ac
hex1c006f899c

120266394012 has 72 divisors (see below), whose sum is σ = 311877886320. Its totient is φ = 39055645440.

The previous prime is 120266393993. The next prime is 120266394013. The reversal of 120266394012 is 210493662021.

It is a happy number.

120266394012 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 6 + 639 + 4 + 0 + 12 = 666.

It is a super-2 number, since 2×1202663940122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120266394013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502312 + ... + 702032.

It is an arithmetic number, because the mean of its divisors is an integer number (4331637310).

Almost surely, 2120266394012 is an apocalyptic number.

120266394012 is a gapful number since it is divisible by the number (12) 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 120266394012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155938943160).

120266394012 is an abundant number, since it is smaller than the sum of its proper divisors (191611492308).

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

120266394012 is a wasteful number, since it uses less digits than its factorization.

120266394012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200163 (or 200158 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 120266394012 in words is "one hundred twenty billion, two hundred sixty-six million, three hundred ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 389 516 774 778 1167 1548 1556 2334 3501 4668 7002 14004 16727 33454 50181 66908 100362 150543 199721 200724 301086 399442 599163 602172 798884 1198326 1797489 2396652 3594978 7189956 8588003 17176006 25764009 34352012 51528018 77292027 77691469 103056036 154584054 155382938 233074407 309168108 310765876 466148814 699223221 932297628 1398446442 2796892884 3340733167 6681466334 10022199501 13362932668 20044399002 30066598503 40088798004 60133197006 120266394012