Search a number
-
+
12112221000 = 2335311261547
BaseRepresentation
bin10110100011111000…
…11101001101001000
31011021010021120121210
423101330131031020
5144301212033000
65321514533120
7606103115445
oct132174351510
934233246553
1012112221000
11515603aa00
1224204371a0
1311b0496a99
1482c8b09cc
154ad53b350
hex2d1f1d348

12112221000 has 384 divisors, whose sum is σ = 42296042880. Its totient is φ = 2882880000.

The previous prime is 12112220993. The next prime is 12112221029. The reversal of 12112221000 is 12221121.

12112221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22142727 + ... + 22143273.

It is an arithmetic number, because the mean of its divisors is an integer number (110145945).

Almost surely, 212112221000 is an apocalyptic number.

12112221000 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 12112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148021440).

12112221000 is an abundant number, since it is smaller than the sum of its proper divisors (30183821880).

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

12112221000 is a wasteful number, since it uses less digits than its factorization.

12112221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

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

Adding to 12112221000 its reverse (12221121), we get a palindrome (12124442121).

The spelling of 12112221000 in words is "twelve billion, one hundred twelve million, two hundred twenty-one thousand".