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12212434332 = 22327413313571
BaseRepresentation
bin10110101111110101…
…01111010110011100
31011112002211221110200
423113322233112130
5200002340344312
65335454503500
7611430656550
oct132772572634
934462757420
1012212434332
1151a766773a
122449b04b90
1311c8183707
1483bd19860
154b72340dc
hex2d7eaf59c

12212434332 has 144 divisors (see below), whose sum is σ = 36260200704. Its totient is φ = 3392928000.

The previous prime is 12212434327. The next prime is 12212434337. The reversal of 12212434332 is 23343421221.

12212434332 is a `hidden beast` number, since 1 + 221 + 2 + 4 + 3 + 433 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12212434327) and next prime (12212434337).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12212434296 and 12212434305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212434337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3418107 + ... + 3421677.

Almost surely, 212212434332 is an apocalyptic number.

12212434332 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 12212434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130100352).

12212434332 is an abundant number, since it is smaller than the sum of its proper divisors (24047766372).

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

12212434332 is a wasteful number, since it uses less digits than its factorization.

12212434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3955 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12212434332 its reverse (23343421221), we get a palindrome (35555855553).

The spelling of 12212434332 in words is "twelve billion, two hundred twelve million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 331 369 492 574 662 738 861 993 1148 1324 1476 1722 1986 2317 2583 2979 3444 3571 3972 4634 5166 5958 6951 7142 9268 10332 10713 11916 13571 13902 14284 20853 21426 24997 27142 27804 32139 40713 41706 42852 49994 54284 64278 74991 81426 83412 94997 99988 122139 128556 146411 149982 162852 189994 224973 244278 284991 292822 299964 379988 439233 449946 488556 569982 585644 854973 878466 899892 1024877 1139964 1182001 1317699 1709946 1756932 2049754 2364002 2635398 3074631 3419892 3546003 4099508 4728004 5270796 6149262 7092006 8274007 9223893 10638009 12298524 14184012 16548014 18447786 21276018 24822021 33096028 36895572 42552036 48462041 49644042 74466063 96924082 99288084 145386123 148932126 193848164 290772246 297864252 339234287 436158369 581544492 678468574 872316738 1017702861 1356937148 1744633476 2035405722 3053108583 4070811444 6106217166 12212434332