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12350128288 = 2519167121633
BaseRepresentation
bin10111000000010000…
…00000000010100000
31011212200221112001211
423200020000002200
5200243113101123
65401254035504
7615022233631
oct134010000240
934780845054
1012350128288
1152683641a3
122488048b94
13121a864224
1485231d888
154c438240d
hex2e02000a0

12350128288 has 48 divisors (see below), whose sum is σ = 25747485120. Its totient is φ = 5814982656.

The previous prime is 12350128267. The next prime is 12350128333. The reversal of 12350128288 is 88282105321.

It is a self number, because there is not a number n which added to its sum of digits gives 12350128288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40720 + ... + 162352.

It is an arithmetic number, because the mean of its divisors is an integer number (536405940).

Almost surely, 212350128288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12350128288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873742560).

12350128288 is an abundant number, since it is smaller than the sum of its proper divisors (13397356832).

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

12350128288 is a wasteful number, since it uses less digits than its factorization.

12350128288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121829 (or 121821 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 12350128288 in words is "twelve billion, three hundred fifty million, one hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 167 304 334 608 668 1336 2672 3173 5344 6346 12692 25384 50768 101536 121633 243266 486532 973064 1946128 2311027 3892256 4622054 9244108 18488216 20312711 36976432 40625422 73952864 81250844 162501688 325003376 385941509 650006752 771883018 1543766036 3087532072 6175064144 12350128288