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12141242180 = 2253529172021
BaseRepresentation
bin10110100111010110…
…01010011101000100
31011100010220000012022
423103223022131010
5144331124222210
65324432542312
7606604566344
oct132353123504
934303800168
1012141242180
115170461a51
12242a0b1998
1311b64b8392
148326a6d24
154b0d70155
hex2d3aca744

12141242180 has 24 divisors (see below), whose sum is σ = 25503981720. Its totient is φ = 4855092480.

The previous prime is 12141242161. The next prime is 12141242207. The reversal of 12141242180 is 8124214121.

12141242180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1989873664 + 10151368516 = 44608^2 + 100754^2 .

It is a super-2 number, since 2×121412421802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15431 + ... + 156590.

It is an arithmetic number, because the mean of its divisors is an integer number (1062665905).

Almost surely, 212141242180 is an apocalyptic number.

12141242180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141242180 is an abundant number, since it is smaller than the sum of its proper divisors (13362739540).

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

12141242180 is a wasteful number, since it uses less digits than its factorization.

12141242180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175559 (or 175557 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 12141242180 in words is "twelve billion, one hundred forty-one million, two hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 3529 7058 14116 17645 35290 70580 172021 344042 688084 860105 1720210 3440420 607062109 1214124218 2428248436 3035310545 6070621090 12141242180