Search a number
-
+
12086030400 = 2635213718379
BaseRepresentation
bin10110100000110001…
…00011000001000000
31011012021222221212120
423100120203001000
5144223010433100
65315141324240
7605334364143
oct132030430100
934167887776
1012086030400
115142281584
122413706680
1311a7c269a2
1482921405a
154ab0b60a0
hex2d0623040

12086030400 has 168 divisors, whose sum is σ = 39943857120. Its totient is φ = 3199242240.

The previous prime is 12086030399. The next prime is 12086030423. The reversal of 12086030400 is 403068021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648411 + ... + 666789.

Almost surely, 212086030400 is an apocalyptic number.

12086030400 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 12086030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971928560).

12086030400 is an abundant number, since it is smaller than the sum of its proper divisors (27857826720).

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

12086030400 is a wasteful number, since it uses less digits than its factorization.

12086030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12086030400 its reverse (403068021), we get a palindrome (12489098421).

The spelling of 12086030400 in words is "twelve billion, eighty-six million, thirty thousand, four hundred".