Search a number
-
+
20012011212000 = 2535319233816173
BaseRepresentation
bin1001000110011011010001…
…10100011100110011100000
32121212010111110200021222110
410203031220310130303200
510110334044332241000
6110321220244035320
74133551202443443
oct443155064346340
977763443607873
1020012011212000
116416056687425
1222b2566092b40
13b22180872982
144d282d55765a
1524a8595bd850
hex123368d1cce0

20012011212000 has 384 divisors, whose sum is σ = 72010287498240. Its totient is φ = 4835853158400.

The previous prime is 20012011211993. The next prime is 20012011212047. The reversal of 20012011212000 is 21211021002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3335914 + ... + 7152086.

It is an arithmetic number, because the mean of its divisors is an integer number (187526790360).

Almost surely, 220012011212000 is an apocalyptic number.

20012011212000 is a gapful number since it is divisible by the number (20) 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 20012011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36005143749120).

20012011212000 is an abundant number, since it is smaller than the sum of its proper divisors (51998276286240).

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

20012011212000 is a wasteful number, since it uses less digits than its factorization.

20012011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816243 (or 3816225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012011212000 its reverse (21211021002), we get a palindrome (20033222233002).

The spelling of 20012011212000 in words is "twenty trillion, twelve billion, eleven million, two hundred twelve thousand".