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12101323332 = 2237437942409
BaseRepresentation
bin10110100010100101…
…11000101001000100
31011020100202220211110
423101102320221010
5144240414321312
65320445205020
7605611360020
oct132122705104
934210686743
1012101323332
11514a97736a
122418860770
1311ab14c767
1482b275380
154ac5d743c
hex2d14b8a44

12101323332 has 96 divisors (see below), whose sum is σ = 33439436800. Its totient is φ = 3334286592.

The previous prime is 12101323309. The next prime is 12101323343. The reversal of 12101323332 is 23332310121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12101323299 and 12101323308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264144 + ... + 306552.

Almost surely, 212101323332 is an apocalyptic number.

12101323332 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 12101323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719718400).

12101323332 is an abundant number, since it is smaller than the sum of its proper divisors (21338113468).

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

12101323332 is a wasteful number, since it uses less digits than its factorization.

12101323332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42545 (or 42543 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12101323332 its reverse (23332310121), we get a palindrome (35433633453).

The spelling of 12101323332 in words is "twelve billion, one hundred one million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 79 84 86 129 158 172 237 258 301 316 474 516 553 602 903 948 1106 1204 1659 1806 2212 3318 3397 3612 6636 6794 10191 13588 20382 23779 40764 42409 47558 71337 84818 95116 127227 142674 169636 254454 285348 296863 508908 593726 890589 1187452 1781178 1823587 3350311 3562356 3647174 5470761 6700622 7294348 10050933 10941522 12765109 13401244 20101866 21883044 23452177 25530218 38295327 40203732 46904354 51060436 70356531 76590654 93808708 140713062 144063373 153181308 281426124 288126746 432190119 576253492 864380238 1008443611 1728760476 2016887222 3025330833 4033774444 6050661666 12101323332