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12303213312 = 2831347157167
BaseRepresentation
bin10110111010101010…
…00010001100000000
31011202102122222211010
423131111002030000
5200144110311222
65352500320520
7613612405365
oct133525021400
934672588733
1012303213312
115243930295
1224743a3140
131210c190a0
14849dca46c
154c01b680c
hex2dd542300

12303213312 has 288 divisors, whose sum is σ = 36459988992. Its totient is φ = 3659415552.

The previous prime is 12303213289. The next prime is 12303213367. The reversal of 12303213312 is 21331230321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73671853 + ... + 73672019.

It is an arithmetic number, because the mean of its divisors is an integer number (126597184).

Almost surely, 212303213312 is an apocalyptic number.

12303213312 is a gapful number since it is divisible by the number (12) 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 12303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229994496).

12303213312 is an abundant number, since it is smaller than the sum of its proper divisors (24156775680).

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

12303213312 is a wasteful number, since it uses less digits than its factorization.

12303213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12303213312 its reverse (21331230321), we get a palindrome (33634443633).

The spelling of 12303213312 in words is "twelve billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".