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12141411012 = 2232337261417
BaseRepresentation
bin10110100111010111…
…10011101011000100
31011100011012120210100
423103223303223010
5144331200123022
65324440324100
7606606201513
oct132353635304
934304176710
1012141411012
115170567885
12242a173630
1311b6547193
1483270c67a
154b0da51ac
hex2d3af3ac4

12141411012 has 18 divisors (see below), whose sum is σ = 30690789038. Its totient is φ = 4047136992.

The previous prime is 12141411011. The next prime is 12141411083. The reversal of 12141411012 is 21011414121.

It can be written as a sum of positive squares in only one way, i.e., 8737388676 + 3404022336 = 93474^2 + 58344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×121414110122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12141411011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168630673 + ... + 168630744.

Almost surely, 212141411012 is an apocalyptic number.

12141411012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12141411012 is an abundant number, since it is smaller than the sum of its proper divisors (18549378026).

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

12141411012 is a wasteful number, since it uses less digits than its factorization.

12141411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337261427 (or 337261422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12141411012 its reverse (21011414121), we get a palindrome (33152825133).

The spelling of 12141411012 in words is "twelve billion, one hundred forty-one million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 337261417 674522834 1011784251 1349045668 2023568502 3035352753 4047137004 6070705506 12141411012