Search a number
-
+
12112022111000 = 23537231011494999
BaseRepresentation
bin1011000001000000110011…
…0001101000001100011000
31120212220020122102221222112
42300100030301220030120
53041420410130023000
641432104112411452
72360031125155220
oct260201461501430
946786218387875
1012112022111000
11394a7527a3929
121437483846b88
1369b20ab06076
142dc321575080
151600dc7e7235
hexb040cc68318

12112022111000 has 512 divisors, whose sum is σ = 34369920000000. Its totient is φ = 3905637120000.

The previous prime is 12112022110967. The next prime is 12112022111051. The reversal of 12112022111000 is 11122021121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2422886501 + ... + 2422891499.

It is an arithmetic number, because the mean of its divisors is an integer number (67128750000).

Almost surely, 212112022111000 is an apocalyptic number.

12112022111000 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 12112022111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000000).

12112022111000 is an abundant number, since it is smaller than the sum of its proper divisors (22257897889000).

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

12112022111000 is a wasteful number, since it uses less digits than its factorization.

12112022111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12112022111000 its reverse (11122021121), we get a palindrome (12123144132121).

The spelling of 12112022111000 in words is "twelve trillion, one hundred twelve billion, twenty-two million, one hundred eleven thousand".