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12301212000 = 2535371113313
BaseRepresentation
bin10110111010011010…
…11001100101100000
31011202021220022112110
423131031121211200
5200143102241000
65352345355320
7613556401560
oct133515314540
934667808473
1012301212000
115242793710
122473798b40
13121069818c
14849a28da0
154bee1d850
hex2dd359960

12301212000 has 384 divisors, whose sum is σ = 50246396928. Its totient is φ = 2555904000.

The previous prime is 12301211981. The next prime is 12301212031. The reversal of 12301212000 is 21210321.

12301212000 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 (12).

It is a congruent number.

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, 917344 + ... + 930656.

It is an arithmetic number, because the mean of its divisors is an integer number (130849992).

Almost surely, 212301212000 is an apocalyptic number.

12301212000 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 12301212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123198464).

12301212000 is an abundant number, since it is smaller than the sum of its proper divisors (37945184928).

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

12301212000 is a wasteful number, since it uses less digits than its factorization.

12301212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12301212000 its reverse (21210321), we get a palindrome (12322422321).

The spelling of 12301212000 in words is "twelve billion, three hundred one million, two hundred twelve thousand".