Search a number
-
+
12340422301020 = 2235111943101347653
BaseRepresentation
bin1011001110010011101001…
…1111001101010101011100
31121200201210020200210010120
42303210322133031111130
53104141141102113040
642125040045234540
72412365111562102
oct263447237152534
947621706623116
1012340422301020
113a285a8747150
1214737a6562a50
136b6909c1cbb8
143093cb419c72
151660091d27d0
hexb393a7cd55c

12340422301020 has 768 divisors, whose sum is σ = 41184174366720. Its totient is φ = 2728760832000.

The previous prime is 12340422300979. The next prime is 12340422301027. The reversal of 12340422301020 is 2010322404321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340422301027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18898043014 + ... + 18898043666.

It is an arithmetic number, because the mean of its divisors is an integer number (53625227040).

Almost surely, 212340422301020 is an apocalyptic number.

12340422301020 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 12340422301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592087183360).

12340422301020 is an abundant number, since it is smaller than the sum of its proper divisors (28843752065700).

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

12340422301020 is a wasteful number, since it uses less digits than its factorization.

12340422301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12340422301020 its reverse (2010322404321), we get a palindrome (14350744705341).

The spelling of 12340422301020 in words is "twelve trillion, three hundred forty billion, four hundred twenty-two million, three hundred one thousand, twenty".