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12300231020 = 225711191632579
BaseRepresentation
bin10110111010010011…
…01010000101101100
31011202020001110212212
423131021222011230
5200142324343040
65352312345552
7613545144560
oct133511520554
934666043785
1012300231020
115242183690
1224733a52b8
13121041380c
148498516a0
154becc7d65
hex2dd26a16c

12300231020 has 192 divisors, whose sum is σ = 34120396800. Its totient is φ = 3608375040.

The previous prime is 12300230947. The next prime is 12300231079. The reversal of 12300231020 is 2013200321.

It is a happy number.

12300231020 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 12300230986 and 12300231004.

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 63 ways as a sum of consecutive naturals, for example, 4768091 + ... + 4770669.

It is an arithmetic number, because the mean of its divisors is an integer number (177710400).

Almost surely, 212300231020 is an apocalyptic number.

12300231020 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 12300231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17060198400).

12300231020 is an abundant number, since it is smaller than the sum of its proper divisors (21820165780).

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

12300231020 is a wasteful number, since it uses less digits than its factorization.

12300231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12300231020 its reverse (2013200321), we get a palindrome (14313431341).

The spelling of 12300231020 in words is "twelve billion, three hundred million, two hundred thirty-one thousand, twenty".