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12042230200 = 23527211132661
BaseRepresentation
bin10110011011100010…
…11101100110111000
31011002020120200021221
423031301131212320
5144130302331300
65310534441424
7604263160600
oct131561354670
934066520257
1012042230200
11511a585870
122400b03274
13119bb2c500
14823491c00
154a731331a
hex2cdc5d9b8

12042230200 has 432 divisors, whose sum is σ = 38531696760. Its totient is φ = 3459456000.

The previous prime is 12042230183. The next prime is 12042230237. The reversal of 12042230200 is 203224021.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 18217870 + ... + 18218530.

Almost surely, 212042230200 is an apocalyptic number.

12042230200 is a gapful number since it is divisible by the number (10) 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 12042230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265848380).

12042230200 is an abundant number, since it is smaller than the sum of its proper divisors (26489466560).

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

12042230200 is a wasteful number, since it uses less digits than its factorization.

12042230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12042230200 its reverse (203224021), we get a palindrome (12245454221).

It can be divided in two parts, 12042 and 230200, that added together give a palindrome (242242).

The spelling of 12042230200 in words is "twelve billion, forty-two million, two hundred thirty thousand, two hundred".