Search a number
-
+
12002232204 = 22322971161921
BaseRepresentation
bin10110010110110001…
…11000011110001100
31010222110022120100200
423023120320132030
5144040032412304
65302545253500
7603266201424
oct131330703614
933873276320
1012002232204
1150a9a46776
1223ab634290
131193766861
1481c03d484
154a3a61e39
hex2cb63878c

12002232204 has 72 divisors (see below), whose sum is σ = 31827388320. Its totient is φ = 3808358400.

The previous prime is 12002232107. The next prime is 12002232239. The reversal of 12002232204 is 40223220021.

12002232204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6837 + ... + 155084.

It is an arithmetic number, because the mean of its divisors is an integer number (442047060).

Almost surely, 212002232204 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 12002232204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913694160).

12002232204 is an abundant number, since it is smaller than the sum of its proper divisors (19825156116).

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

12002232204 is a wasteful number, since it uses less digits than its factorization.

12002232204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162031 (or 162026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12002232204 its reverse (40223220021), we get a palindrome (52225452225).

The spelling of 12002232204 in words is "twelve billion, two million, two hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 71 87 116 142 174 213 261 284 348 426 522 639 852 1044 1278 2059 2556 4118 6177 8236 12354 18531 24708 37062 74124 161921 323842 485763 647684 971526 1457289 1943052 2914578 4695709 5829156 9391418 11496391 14087127 18782836 22992782 28174254 34489173 42261381 45985564 56348508 68978346 84522762 103467519 137956692 169045524 206935038 333395339 413870076 666790678 1000186017 1333581356 2000372034 3000558051 4000744068 6001116102 12002232204