Search a number
-
+
12069043200 = 210335219919
BaseRepresentation
bin10110011110101111…
…01111110000000000
31011011010000220211000
423033113233300000
5144204133340300
65313333252000
7605040113604
oct131727576000
934133026730
1012069043200
115133729875
122409a94000
1311a45599a6
14826c71504
154a985cc00
hex2cf5efc00

12069043200 has 528 divisors, whose sum is σ = 46704352000. Its totient is φ = 3045703680.

The previous prime is 12069043193. The next prime is 12069043201. The reversal of 12069043200 is 234096021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12069043201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13132341 + ... + 13133259.

Almost surely, 212069043200 is an apocalyptic number.

12069043200 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 12069043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23352176000).

12069043200 is an abundant number, since it is smaller than the sum of its proper divisors (34635308800).

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

12069043200 is a wasteful number, since it uses less digits than its factorization.

12069043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12069043200 in words is "twelve billion, sixty-nine million, forty-three thousand, two hundred".