Search a number
-
+
12012220000000 = 28571154601
BaseRepresentation
bin1010111011001101000000…
…0110110010011100000000
31120112100122021011102102001
42232303100012302130000
53033302011310000000
641314200535033344
72346566003212453
oct256632006623400
946470567142361
1012012220000000
113911399039760
12142007020b854
136919942c1b0c
142d757490749a
1515c6eab4b46a
hexaecd01b2700

12012220000000 has 288 divisors, whose sum is σ = 32697129576384. Its totient is φ = 4368000000000.

The previous prime is 12012219999937. The next prime is 12012220000057. The reversal of 12012220000000 is 2221021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219972700 + ... + 220027300.

It is an arithmetic number, because the mean of its divisors is an integer number (113531699918).

Almost surely, 212012220000000 is an apocalyptic number.

12012220000000 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 12012220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348564788192).

12012220000000 is an abundant number, since it is smaller than the sum of its proper divisors (20684909576384).

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

12012220000000 is an frugal number, since it uses more digits than its factorization.

12012220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54663 (or 54619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12012220000000 its reverse (2221021), we get a palindrome (12012222221021).

The spelling of 12012220000000 in words is "twelve trillion, twelve billion, two hundred twenty million", and thus it is an aban number.