Search a number
-
+
12303240000 = 263541737163
BaseRepresentation
bin10110111010101010…
…01000101101000000
31011202102201100102120
423131111020231000
5200144112140000
65352501044240
7613612546242
oct133525105500
934672640376
1012303240000
115243949347
1224743b6680
131210c2828c
14849dd6092
154c01be6a0
hex2dd548b40

12303240000 has 560 divisors, whose sum is σ = 44505603648. Its totient is φ = 2985984000.

The previous prime is 12303239947. The next prime is 12303240007. The reversal of 12303240000 is 4230321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303240007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75479919 + ... + 75480081.

Almost surely, 212303240000 is an apocalyptic number.

12303240000 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 12303240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22252801824).

12303240000 is an abundant number, since it is smaller than the sum of its proper divisors (32202363648).

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

12303240000 is a wasteful number, since it uses less digits than its factorization.

12303240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12303240000 its reverse (4230321), we get a palindrome (12307470321).

The spelling of 12303240000 in words is "twelve billion, three hundred three million, two hundred forty thousand".