Search a number
-
+
12301213032240 = 24351143359301843
BaseRepresentation
bin1011001100000001100101…
…1011101101111100110000
31121112222120200112112221120
42303000121123231330300
53103020341014012430
642055033234422240
72406506345362116
oct263003133557460
947488520475846
1012301213032240
113a12a08079190
121468083431980
136b2ccb926742
1430754bc83ab6
15164eb1d41610
hexb30196edf30

12301213032240 has 320 divisors, whose sum is σ = 42686633594880. Its totient is φ = 2904637639680.

The previous prime is 12301213032223. The next prime is 12301213032253. The reversal of 12301213032240 is 4223031210321.

12301213032240 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12301213032240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40602759 + ... + 40904601.

It is an arithmetic number, because the mean of its divisors is an integer number (133395729984).

Almost surely, 212301213032240 is an apocalyptic number.

12301213032240 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 12301213032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343316797440).

12301213032240 is an abundant number, since it is smaller than the sum of its proper divisors (30385420562640).

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

12301213032240 is a wasteful number, since it uses less digits than its factorization.

12301213032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302272 (or 302266 counting only the distinct ones).

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

Adding to 12301213032240 its reverse (4223031210321), we get a palindrome (16524244242561).

The spelling of 12301213032240 in words is "twelve trillion, three hundred one billion, two hundred thirteen million, thirty-two thousand, two hundred forty".