Search a number
-
+
12300060168 = 2333118397643
BaseRepresentation
bin10110111010010010…
…00000011000001000
31011202012201210112000
423131021000120020
5200142303411133
65352304551000
7613543533504
oct133511003010
934665653460
1012300060168
115242077290
122473322460
131210383b16
14849809304
154bec92413
hex2dd240608

12300060168 has 256 divisors, whose sum is σ = 38170137600. Its totient is φ = 3638753280.

The previous prime is 12300060127. The next prime is 12300060181. The reversal of 12300060168 is 86106000321.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19128855 + ... + 19129497.

It is an arithmetic number, because the mean of its divisors is an integer number (149102100).

Almost surely, 212300060168 is an apocalyptic number.

12300060168 is a gapful number since it is divisible by the number (18) 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 12300060168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085068800).

12300060168 is an abundant number, since it is smaller than the sum of its proper divisors (25870077432).

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

12300060168 is a wasteful number, since it uses less digits than its factorization.

12300060168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12300060168 its reverse (86106000321), we get a palindrome (98406060489).

The spelling of 12300060168 in words is "twelve billion, three hundred million, sixty thousand, one hundred sixty-eight".