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120113322012 = 223347101234287
BaseRepresentation
bin110111111011101001…
…1111101100000011100
3102111000220101222002000
41233313103331200130
53431443002301022
6131102421202300
711451343251165
oct1576723754034
9374026358060
10120113322012
1146a37925682
121b341860390
13b432813808
145b5640476c
1531ceddc6ac
hex1bf74fd81c

120113322012 has 96 divisors (see below), whose sum is σ = 321180733440. Its totient is φ = 38797761600.

The previous prime is 120113322011. The next prime is 120113322019. The reversal of 120113322012 is 210223311021.

120113322012 is a `hidden beast` number, since 120 + 11 + 332 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120113322011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395533 + ... + 629819.

It is an arithmetic number, because the mean of its divisors is an integer number (3345632640).

Almost surely, 2120113322012 is an apocalyptic number.

120113322012 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 120113322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160590366720).

120113322012 is an abundant number, since it is smaller than the sum of its proper divisors (201067411428).

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

120113322012 is a wasteful number, since it uses less digits than its factorization.

120113322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234448 (or 234440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120113322012 its reverse (210223311021), we get a palindrome (330336633033).

The spelling of 120113322012 in words is "one hundred twenty billion, one hundred thirteen million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 101 108 141 188 202 282 303 404 423 564 606 846 909 1212 1269 1692 1818 2538 2727 3636 4747 5076 5454 9494 10908 14241 18988 28482 42723 56964 85446 128169 170892 234287 256338 468574 512676 702861 937148 1405722 2108583 2811444 4217166 6325749 8434332 11011489 12651498 22022978 23662987 25302996 33034467 44045956 47325974 66068934 70988961 94651948 99103401 132137868 141977922 198206802 212966883 283955844 297310203 396413604 425933766 594620406 638900649 851867532 1112160389 1189240812 1277801298 2224320778 2555602596 3336481167 4448641556 6672962334 10009443501 13345924668 20018887002 30028330503 40037774004 60056661006 120113322012