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12301421000 = 23531117157419
BaseRepresentation
bin10110111010011100…
…01100100111001000
31011202022021221020012
423131032030213020
5200143130433000
65352354051052
7613561232111
oct133516144710
934668257205
1012301421000
115242916740
122473879a88
13121073c34b
14849a81208
154bee60735
hex2dd38c9c8

12301421000 has 256 divisors, whose sum is σ = 33540998400. Its totient is φ = 4173312000.

The previous prime is 12301420991. The next prime is 12301421003. The reversal of 12301421000 is 12410321.

12301421000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12301421003) 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 63 ways as a sum of consecutive naturals, for example, 29358791 + ... + 29359209.

It is an arithmetic number, because the mean of its divisors is an integer number (131019525).

Almost surely, 212301421000 is an apocalyptic number.

12301421000 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 12301421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770499200).

12301421000 is an abundant number, since it is smaller than the sum of its proper divisors (21239577400).

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

12301421000 is a wasteful number, since it uses less digits than its factorization.

12301421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12301421000 its reverse (12410321), we get a palindrome (12313831321).

The spelling of 12301421000 in words is "twelve billion, three hundred one million, four hundred twenty-one thousand".