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12132312030 = 23557963199
BaseRepresentation
bin10110100110010010…
…00110001111011110
31011022112002022100000
423103021012033132
5144321332441110
65323513315130
7606435644046
oct132311061736
934275068300
1012132312030
115166412663
122427105aa6
1311b46ac777
14831420726
154b01a91c0
hex2d32463de

12132312030 has 96 divisors (see below), whose sum is σ = 33126912000. Its totient is φ = 3194279712.

The previous prime is 12132312029. The next prime is 12132312047. The reversal of 12132312030 is 3021323121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12132311994 and 12132312012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160371 + ... + 223569.

It is an arithmetic number, because the mean of its divisors is an integer number (345072000).

Almost surely, 212132312030 is an apocalyptic number.

12132312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16563456000).

12132312030 is an abundant number, since it is smaller than the sum of its proper divisors (20994599970).

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

12132312030 is an equidigital number, since it uses as much as digits as its factorization.

12132312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63300 (or 63288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132312030 its reverse (3021323121), we get a palindrome (15153635151).

The spelling of 12132312030 in words is "twelve billion, one hundred thirty-two million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 243 270 395 405 474 486 711 790 810 1185 1215 1422 2133 2370 2430 3555 4266 6399 7110 10665 12798 19197 21330 31995 38394 63199 63990 95985 126398 189597 191970 315995 379194 568791 631990 947985 1137582 1706373 1895970 2843955 3412746 4992721 5119119 5687910 8531865 9985442 10238238 14978163 15357357 17063730 24963605 25595595 29956326 30714714 44934489 49927210 51191190 74890815 76786785 89868978 134803467 149781630 153573570 224672445 269606934 404410401 449344890 674017335 808820802 1213231203 1348034670 2022052005 2426462406 4044104010 6066156015 12132312030