Search a number
-
+
12001010020110 = 2325833797016047
BaseRepresentation
bin1010111010100011001111…
…1100000110111100001110
31120111021201000121102220200
42232220303330012330032
53033111032031120420
641305104330154330
72346021134025366
oct256506374067416
946437630542820
1012001010020110
113907666321971
121419a61b829a6
136908c8a27817
142d6bcdbb79a6
1515c291930b90
hexaea33f06f0e

12001010020110 has 192 divisors, whose sum is σ = 31712292218880. Its totient is φ = 3148350508800.

The previous prime is 12001010020007. The next prime is 12001010020121. The reversal of 12001010020110 is 1102001010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001010020092 and 12001010020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1984619107 + ... + 1984625153.

It is an arithmetic number, because the mean of its divisors is an integer number (165168188640).

Almost surely, 212001010020110 is an apocalyptic number.

12001010020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001010020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856146109440).

12001010020110 is an abundant number, since it is smaller than the sum of its proper divisors (19711282198770).

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

12001010020110 is a wasteful number, since it uses less digits than its factorization.

12001010020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001010020110 its reverse (1102001010021), we get a palindrome (13103011030131).

The spelling of 12001010020110 in words is "twelve trillion, one billion, ten million, twenty thousand, one hundred ten".