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12000223232 = 2132336287
BaseRepresentation
bin10110010110100010…
…01110000000000000
31010222022112111120022
423023101032000000
5144034024120412
65302434233012
7603243133364
oct131321160000
933868474508
1012000223232
1150a88a4368
1223aaa25768
13119321230a
1481ba792a4
154a37b6a72
hex2cb44e000

12000223232 has 56 divisors (see below), whose sum is σ = 24105815136. Its totient is φ = 5973409792.

The previous prime is 12000223223. The next prime is 12000223307. The reversal of 12000223232 is 23232200021.

It is a self number, because there is not a number n which added to its sum of digits gives 12000223232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1905593 + ... + 1911879.

Almost surely, 212000223232 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 12000223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052907568).

12000223232 is an abundant number, since it is smaller than the sum of its proper divisors (12105591904).

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

12000223232 is an frugal number, since it uses more digits than its factorization.

12000223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12000223232 its reverse (23232200021), we get a palindrome (35232423253).

The spelling of 12000223232 in words is "twelve billion, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1024 1864 2048 3728 4096 6287 7456 8192 12574 14912 25148 29824 50296 59648 100592 119296 201184 238592 402368 477184 804736 954368 1464871 1609472 1908736 2929742 3218944 5859484 6437888 11718968 12875776 23437936 25751552 46875872 51503104 93751744 187503488 375006976 750013952 1500027904 3000055808 6000111616 12000223232