Search a number
-
+
120856242012 = 223113129534761
BaseRepresentation
bin111000010001110010…
…1111110011101011100
3102112221200100012201120
41300203211332131130
53440003144221022
6131304240410540
711505634051542
oct1604345763534
9375850305646
10120856242012
114728921a450
121b50a616a50
13b5206cc84c
145bc6d51d92
15322523bd5c
hex1c2397e75c

120856242012 has 48 divisors (see below), whose sum is σ = 317557761024. Its totient is φ = 35441712000.

The previous prime is 120856241971. The next prime is 120856242047. The reversal of 120856242012 is 210242658021.

120856242012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1208562420122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14763289 + ... + 14771472.

It is an arithmetic number, because the mean of its divisors is an integer number (6615786688).

Almost surely, 2120856242012 is an apocalyptic number.

120856242012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120856242012 is an abundant number, since it is smaller than the sum of its proper divisors (196701519012).

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

120856242012 is a wasteful number, since it uses less digits than its factorization.

120856242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29534810 (or 29534808 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 120856242012 in words is "one hundred twenty billion, eight hundred fifty-six million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 29534761 59069522 88604283 118139044 177208566 324882371 354417132 649764742 915577591 974647113 1299529484 1831155182 1949294226 2746732773 3662310364 3898588452 5493465546 10071353501 10986931092 20142707002 30214060503 40285414004 60428121006 120856242012