Search a number
-
+
12233310222000 = 2435373753148531
BaseRepresentation
bin1011001000000100101000…
…0111000011011010110000
31121022111022102102101120210
42302001022013003122300
53100412304404101000
642003523301504120
72401553555123250
oct262011207033260
947274272371523
1012233310222000
11399713277589a
121456a92a12040
136a9799b24a9a
143041499c5960
1516333a8e0350
hexb204a1c36b0

12233310222000 has 640 divisors, whose sum is σ = 47166500579328. Its totient is φ = 2669262336000.

The previous prime is 12233310221981. The next prime is 12233310222017. The reversal of 12233310222000 is 22201333221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 82287735 + ... + 82436265.

Almost surely, 212233310222000 is an apocalyptic number.

12233310222000 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 12233310222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23583250289664).

12233310222000 is an abundant number, since it is smaller than the sum of its proper divisors (34933190357328).

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

12233310222000 is a wasteful number, since it uses less digits than its factorization.

12233310222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148654 (or 148638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12233310222000 its reverse (22201333221), we get a palindrome (12255511555221).

The spelling of 12233310222000 in words is "twelve trillion, two hundred thirty-three billion, three hundred ten million, two hundred twenty-two thousand".