Search a number
-
+
12207310000 = 245419471367
BaseRepresentation
bin10110101111001110…
…01100010010110000
31011111202012121012121
423113213030102300
5200000032410000
65335153004024
7611336265034
oct132747142260
934452177177
1012207310000
1151a4787756
122448253614
1311c70ab172
1483b3841c4
154b6a70b1a
hex2d79cc4b0

12207310000 has 200 divisors, whose sum is σ = 31795822080. Its totient is φ = 4524192000.

The previous prime is 12207309979. The next prime is 12207310001. The reversal of 12207310000 is 1370221.

It is a happy number.

12207310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×122073100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12207310001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8929317 + ... + 8930683.

Almost surely, 212207310000 is an apocalyptic number.

12207310000 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 12207310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897911040).

12207310000 is an abundant number, since it is smaller than the sum of its proper divisors (19588512080).

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

12207310000 is a wasteful number, since it uses less digits than its factorization.

12207310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 12207310000 its reverse (1370221), we get a palindrome (12208680221).

The spelling of 12207310000 in words is "twelve billion, two hundred seven million, three hundred ten thousand".