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12142342212 = 223711131676053
BaseRepresentation
bin10110100111011110…
…10111000001000100
31011100012221220011020
423103233113001010
5144331414422322
65324512311140
7606620130420
oct132357270104
934305856136
1012142342212
115171043470
12242a5424b0
1311b67b1ca0
148328b1b80
154b0edb05c
hex2d3bd7044

12142342212 has 192 divisors, whose sum is σ = 38274453504. Its totient is φ = 2893340160.

The previous prime is 12142342189. The next prime is 12142342231. The reversal of 12142342212 is 21224324121.

12142342212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 2002978 + ... + 2009030.

It is an arithmetic number, because the mean of its divisors is an integer number (199346112).

Almost surely, 212142342212 is an apocalyptic number.

12142342212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137226752).

12142342212 is an abundant number, since it is smaller than the sum of its proper divisors (26132111292).

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

12142342212 is a wasteful number, since it uses less digits than its factorization.

12142342212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6256 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12142342212 its reverse (21224324121), we get a palindrome (33366666333).

The spelling of 12142342212 in words is "twelve billion, one hundred forty-two million, three hundred forty-two thousand, two hundred twelve".