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12231310000 = 245471313441
BaseRepresentation
bin10110110010000101…
…01111101010110000
31011120102100221000111
423121002233222300
5200022203410000
65341411231104
7612050263630
oct133102575260
934512327014
1012231310000
11520728a268
1224542a8494
1311cc062150
148406306c0
154b8c11cba
hex2d90afab0

12231310000 has 200 divisors, whose sum is σ = 36449757344. Its totient is φ = 3870720000.

The previous prime is 12231309947. The next prime is 12231310009. The reversal of 12231310000 is 1313221.

12231310000 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 2×122313100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12231310009) 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, 903280 + ... + 916720.

Almost surely, 212231310000 is an apocalyptic number.

12231310000 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 12231310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224878672).

12231310000 is an abundant number, since it is smaller than the sum of its proper divisors (24218447344).

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

12231310000 is a wasteful number, since it uses less digits than its factorization.

12231310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12231310000 its reverse (1313221), we get a palindrome (12232623221).

The spelling of 12231310000 in words is "twelve billion, two hundred thirty-one million, three hundred ten thousand".