Search a number
-
+
12332130400000 = 2855131117673
BaseRepresentation
bin1011001101110100110001…
…0000000111011100000000
31121122221101101000120022101
42303131030100013130000
53104022200340300000
642121145201120144
72411652454563415
oct263351420073400
947587341016271
1012332130400000
113a25033127194
121472071629054
136b5bb80864a8
14308c4208a10c
15165bc1277e6a
hexb374c407700

12332130400000 has 216 divisors, whose sum is σ = 31003276007088. Its totient is φ = 4895155200000.

The previous prime is 12332130399983. The next prime is 12332130400001. The reversal of 12332130400000 is 403123321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332130400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104741164 + ... + 104858836.

It is an arithmetic number, because the mean of its divisors is an integer number (143533685218).

Almost surely, 212332130400000 is an apocalyptic number.

12332130400000 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 12332130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501638003544).

12332130400000 is an abundant number, since it is smaller than the sum of its proper divisors (18671145607088).

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

12332130400000 is an frugal number, since it uses more digits than its factorization.

12332130400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117845 (or 117811 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12332130400000 its reverse (403123321), we get a palindrome (12332533523321).

The spelling of 12332130400000 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty million, four hundred thousand".