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12301236420 = 2235111011091693
BaseRepresentation
bin10110111010011010…
…11111100011000100
31011202021221120000220
423131031133203010
5200143104031140
65352350104340
7613556533014
oct133515374304
934667846026
1012301236420
1152427aaaa0
1224737ab0b0
1312106a6325
14849a33c44
154bee25bd0
hex2dd35f8c4

12301236420 has 192 divisors, whose sum is σ = 38317466880. Its totient is φ = 2923776000.

The previous prime is 12301236391. The next prime is 12301236427. The reversal of 12301236420 is 2463210321.

It is not an unprimeable number, because it can be changed into a prime (12301236427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7265094 + ... + 7266786.

It is an arithmetic number, because the mean of its divisors is an integer number (199570140).

Almost surely, 212301236420 is an apocalyptic number.

12301236420 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 12301236420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158733440).

12301236420 is an abundant number, since it is smaller than the sum of its proper divisors (26016230460).

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

12301236420 is a wasteful number, since it uses less digits than its factorization.

12301236420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12301236420 its reverse (2463210321), we get a palindrome (14764446741).

The spelling of 12301236420 in words is "twelve billion, three hundred one million, two hundred thirty-six thousand, four hundred twenty".