Search a number
-
+
12012000120000 = 263254436731153
BaseRepresentation
bin1010111011001100001100…
…0000000000110011000000
31120112100001221102100202100
42232303003000000303000
53033301034012320000
641314123042150400
72346560363236056
oct256630300006300
946470057370670
1012012000120000
113911295a08651
12142000a652400
1369195a896bca
142d755362c1d6
1515c6d66b6a00
hexaecc3000cc0

12012000120000 has 840 divisors, whose sum is σ = 44128228059344. Its totient is φ = 3121348608000.

The previous prime is 12012000119927. The next prime is 12012000120011. The reversal of 12012000120000 is 2100021021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10418039424 + ... + 10418040576.

Almost surely, 212012000120000 is an apocalyptic number.

12012000120000 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 12012000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064114029672).

12012000120000 is an abundant number, since it is smaller than the sum of its proper divisors (32116227939344).

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

12012000120000 is a wasteful number, since it uses less digits than its factorization.

12012000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12012000120000 its reverse (2100021021), we get a palindrome (12014100141021).

The spelling of 12012000120000 in words is "twelve trillion, twelve billion, one hundred twenty thousand".