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12203332232 = 23713433491117
BaseRepresentation
bin10110101110110000…
…00001001010001000
31011111110201111201212
423113120001022020
5144443023112412
65334531432252
7611260420040
oct132730011210
934443644655
1012203332232
1151a2510143
122446a55688
1311c6317760
1483aa2a720
154b6537222
hex2d7601288

12203332232 has 128 divisors (see below), whose sum is σ = 28924896000. Its totient is φ = 4697699328.

The previous prime is 12203332181. The next prime is 12203332237. The reversal of 12203332232 is 23223330221.

It is a junction number, because it is equal to n+sod(n) for n = 12203332198 and 12203332207.

It is not an unprimeable number, because it can be changed into a prime (12203332237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10924538 + ... + 10925654.

It is an arithmetic number, because the mean of its divisors is an integer number (225975750).

Almost surely, 212203332232 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 12203332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14462448000).

12203332232 is an abundant number, since it is smaller than the sum of its proper divisors (16721563768).

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

12203332232 is a wasteful number, since it uses less digits than its factorization.

12203332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12203332232 its reverse (23223330221), we get a palindrome (35426662453).

The spelling of 12203332232 in words is "twelve billion, two hundred three million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 349 364 559 602 698 728 1117 1118 1204 1396 2234 2236 2408 2443 2792 3913 4468 4472 4537 4886 7819 7826 8936 9074 9772 14521 15007 15638 15652 18148 19544 29042 30014 31276 31304 31759 36296 48031 58084 60028 62552 63518 96062 101647 105049 116168 120056 127036 192124 195091 203294 210098 254072 336217 384248 389833 390182 406588 420196 624403 672434 779666 780364 813176 840392 1248806 1344868 1365637 1559332 1560728 2497612 2689736 2728831 2731274 3118664 4370821 4995224 5067829 5457662 5462548 8741642 10135658 10915324 10925096 16762819 17483284 20271316 21830648 33525638 34966568 35474803 40542632 67051276 70949606 117339733 134102552 141899212 217916647 234679466 283798424 435833294 469358932 871666588 938717864 1525416529 1743333176 3050833058 6101666116 12203332232