Search a number
-
+
12013043042000 = 24537111343139547
BaseRepresentation
bin1010111011010000000100…
…1010011100011011010000
31120112102202121212021210002
42232310001022130123100
53033310203004321000
641314414335425132
72346625256025020
oct256640112343320
946472677767702
1012013043042000
113911780688360
12142025b9851a8
13691a95981910
142d7611d4da80
1515c7480258d5
hexaed0129c6d0

12013043042000 has 640 divisors, whose sum is σ = 39908173713408. Its totient is φ = 3375896832000.

The previous prime is 12013043041999. The next prime is 12013043042017. The reversal of 12013043042000 is 24034031021.

It is a super-2 number, since 2×120130430420002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 127 ways as a sum of consecutive naturals, for example, 86016227 + ... + 86155773.

Almost surely, 212013043042000 is an apocalyptic number.

12013043042000 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 12013043042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954086856704).

12013043042000 is an abundant number, since it is smaller than the sum of its proper divisors (27895130671408).

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

12013043042000 is a wasteful number, since it uses less digits than its factorization.

12013043042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139644 (or 139628 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12013043042000 its reverse (24034031021), we get a palindrome (12037077073021).

The spelling of 12013043042000 in words is "twelve trillion, thirteen billion, forty-three million, forty-two thousand".