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120332013012 = 223247259327427
BaseRepresentation
bin111000000010001011…
…0001100110111010100
3102111121010220121201200
41300010112030313110
53432414443404022
6131140232352500
711456640143241
oct1600426146724
9374533817650
10120332013012
114703a314442
121b3a2b45730
13b468c13483
145b774905c8
1531e41d9bac
hex1c0458cdd4

120332013012 has 72 divisors (see below), whose sum is σ = 310775477376. Its totient is φ = 39240681984.

The previous prime is 120332012989. The next prime is 120332013097. The reversal of 120332013012 is 210310233021.

120332013012 is a `hidden beast` number, since 1 + 203 + 320 + 130 + 12 = 666.

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

It is a congruent number.

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, 4373643 + ... + 4401069.

Almost surely, 2120332013012 is an apocalyptic number.

120332013012 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 120332013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387738688).

120332013012 is an abundant number, since it is smaller than the sum of its proper divisors (190443464364).

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

120332013012 is a wasteful number, since it uses less digits than its factorization.

120332013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30077 (or 30072 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120332013012 its reverse (210310233021), we get a palindrome (330642246033).

The spelling of 120332013012 in words is "one hundred twenty billion, three hundred thirty-two million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2593 5186 7779 10372 15558 23337 27427 31116 46674 54854 82281 93348 109708 121871 164562 243742 246843 329124 365613 487484 493686 731226 987372 1096839 1289069 1462452 2193678 2578138 3867207 4387356 5156276 7734414 11601621 15468828 23203242 46406484 71118211 142236422 213354633 284472844 426709266 640063899 853418532 1280127798 2560255596 3342555917 6685111834 10027667751 13370223668 20055335502 30083003253 40110671004 60166006506 120332013012