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12142253412 = 22321300325939
BaseRepresentation
bin10110100111011110…
…00001010101100100
31011100012210101100100
423103233001111210
5144331404102122
65324510344100
7606616310502
oct132357012544
934305711310
1012142253412
115170a92783
12242a4bb030
1311b6780743
1483288b672
154b0ebeaac
hex2d3bc1564

12142253412 has 36 divisors (see below), whose sum is σ = 30696462160. Its totient is φ = 4046950512.

The previous prime is 12142253359. The next prime is 12142253423. The reversal of 12142253412 is 21435224121.

12142253412 is a `hidden beast` number, since 1 + 21 + 4 + 225 + 3 + 412 = 666.

12142253412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 11 ways as a sum of consecutive naturals, for example, 455139 + ... + 481077.

Almost surely, 212142253412 is an apocalyptic number.

12142253412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12142253412 is an abundant number, since it is smaller than the sum of its proper divisors (18554208748).

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

12142253412 is a wasteful number, since it uses less digits than its factorization.

12142253412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38952 (or 38947 counting only the distinct ones).

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

Adding to 12142253412 its reverse (21435224121), we get a palindrome (33577477533).

It can be divided in two parts, 1214 and 2253412, that added together give a triangular number (2254626 = T2123).

The spelling of 12142253412 in words is "twelve billion, one hundred forty-two million, two hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 13003 25939 26006 39009 51878 52012 77817 78018 103756 117027 155634 156036 233451 234054 311268 466902 468108 933804 337284817 674569634 1011854451 1349139268 2023708902 3035563353 4047417804 6071126706 12142253412