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12350121444 = 22321720179937
BaseRepresentation
bin10111000000001111…
…11110010111100100
31011212200221011200100
423200013332113210
5200243112341234
65401253544100
7615022204653
oct134007762744
934780834610
1012350121444
11526835a041
122488045030
13121a86108b
1485231b19a
154c4380399
hex2e01fe5e4

12350121444 has 36 divisors (see below), whose sum is σ = 33054738444. Its totient is φ = 3874547712.

The previous prime is 12350121409. The next prime is 12350121491. The reversal of 12350121444 is 44412105321.

12350121444 is a `hidden beast` number, since 12 + 3 + 501 + 2 + 144 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10959577344 + 1390544100 = 104688^2 + 37290^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×123501214443 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10089357 + ... + 10090580.

It is an arithmetic number, because the mean of its divisors is an integer number (918187179).

Almost surely, 212350121444 is an apocalyptic number.

It is an amenable number.

12350121444 is an abundant number, since it is smaller than the sum of its proper divisors (20704617000).

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

12350121444 is a wasteful number, since it uses less digits than its factorization.

12350121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20179964 (or 20179959 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12350121444 its reverse (44412105321), we get a palindrome (56762226765).

The spelling of 12350121444 in words is "twelve billion, three hundred fifty million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20179937 40359874 60539811 80719748 121079622 181619433 242159244 343058929 363238866 686117858 726477732 1029176787 1372235716 2058353574 3087530361 4116707148 6175060722 12350121444