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12234322944 = 21039607
BaseRepresentation
bin10110110010011100…
…01111010000000000
31011120122001000000000
423121032033100000
5200023441313234
65342000000000
7612115013004
oct133116172000
934518030000
1012234322944
115208a579a8
122455300000
1311cc87865c
14840bb6704
154b9109899
hex2d938f400

12234322944 has 220 divisors, whose sum is σ = 36744861824. Its totient is φ = 4071389184.

The previous prime is 12234322943. The next prime is 12234322957. The reversal of 12234322944 is 44922343221.

12234322944 is a `hidden beast` number, since 1 + 22 + 343 + 2 + 294 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12234322899 and 12234322908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234322943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20155089 + ... + 20155695.

Almost surely, 212234322944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372430912).

12234322944 is an abundant number, since it is smaller than the sum of its proper divisors (24510538880).

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

12234322944 is an frugal number, since it uses more digits than its factorization.

12234322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 612 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12234322944 in words is "twelve billion, two hundred thirty-four million, three hundred twenty-two thousand, nine hundred forty-four".