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12000230232 = 2331723315227
BaseRepresentation
bin10110010110100010…
…01111101101011000
31010222022112212011120
423023101033231120
5144034024331412
65302434325240
7603243162654
oct131321175530
933868485146
1012000230232
1150a88a9651
1223aaa29820
131193215563
1481ba7ba64
154a37b8b8c
hex2cb44fb58

12000230232 has 96 divisors (see below), whose sum is σ = 31971520320. Its totient is φ = 3752686080.

The previous prime is 12000230213. The next prime is 12000230279. The reversal of 12000230232 is 23203200021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2293203 + ... + 2298429.

It is an arithmetic number, because the mean of its divisors is an integer number (333036670).

Almost surely, 212000230232 is an apocalyptic number.

12000230232 is a gapful number since it is divisible by the number (12) 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 12000230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985760160).

12000230232 is an abundant number, since it is smaller than the sum of its proper divisors (19971290088).

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

12000230232 is a wasteful number, since it uses less digits than its factorization.

12000230232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5580 counting only the distinct ones).

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

Adding to 12000230232 its reverse (23203200021), we get a palindrome (35203430253).

The spelling of 12000230232 in words is "twelve billion, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 331 408 578 662 867 993 1156 1324 1734 1986 2312 2648 3468 3972 5227 5627 6936 7944 10454 11254 15681 16881 20908 22508 31362 33762 41816 45016 62724 67524 88859 95659 125448 135048 177718 191318 266577 286977 355436 382636 533154 573954 710872 765272 1066308 1147908 1510603 1730137 2132616 2295816 3021206 3460274 4531809 5190411 6042412 6920548 9063618 10380822 12084824 13841096 18127236 20761644 29412329 36254472 41523288 58824658 88236987 117649316 176473974 235298632 352947948 500009593 705895896 1000019186 1500028779 2000038372 3000057558 4000076744 6000115116 12000230232