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12013122120 = 2335100109351
BaseRepresentation
bin10110011000000100…
…11011001001001000
31011000012210211111220
423030002123021020
5144100324401440
65304014522040
7603460565436
oct131402331110
934005724456
1012013122120
1151051044aa
1223b3206320
131195aaa4ac
1481d675d56
154a49b38d0
hex2cc09b248

12013122120 has 32 divisors (see below), whose sum is σ = 36039366720. Its totient is φ = 3203499200.

The previous prime is 12013122109. The next prime is 12013122127. The reversal of 12013122120 is 2122131021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12013122120.

It is not an unprimeable number, because it can be changed into a prime (12013122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50054556 + ... + 50054795.

It is an arithmetic number, because the mean of its divisors is an integer number (1126230210).

Almost surely, 212013122120 is an apocalyptic number.

12013122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013122120 is an abundant number, since it is smaller than the sum of its proper divisors (24026244600).

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

12013122120 is a wasteful number, since it uses less digits than its factorization.

12013122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100109365 (or 100109361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12013122120 its reverse (2122131021), we get a palindrome (14135253141).

The spelling of 12013122120 in words is "twelve billion, thirteen million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 100109351 200218702 300328053 400437404 500546755 600656106 800874808 1001093510 1201312212 1501640265 2002187020 2402624424 3003280530 4004374040 6006561060 12013122120