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12132112212 = 223211199153953
BaseRepresentation
bin10110100110010000…
…10101011101010100
31011022111201011020100
423103020111131110
5144321310042322
65323505134100
7606434152353
oct132310253524
934274634210
1012132112212
115166296520
12242702a330
1311b463c82c
148313ab99a
154b0169dac
hex2d3215754

12132112212 has 72 divisors (see below), whose sum is σ = 33623553600. Its totient is φ = 3657899520.

The previous prime is 12132112193. The next prime is 12132112231. The reversal of 12132112212 is 21221123121.

12132112212 is a `hidden beast` number, since 121 + 321 + 1 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12132112193) and next prime (12132112231).

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

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

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, 1828 + ... + 155780.

It is an arithmetic number, because the mean of its divisors is an integer number (466993800).

Almost surely, 212132112212 is an apocalyptic number.

12132112212 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 12132112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811776800).

12132112212 is an abundant number, since it is smaller than the sum of its proper divisors (21491441388).

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

12132112212 is a wasteful number, since it uses less digits than its factorization.

12132112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154173 (or 154168 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12132112212 its reverse (21221123121), we get a palindrome (33353235333).

The spelling of 12132112212 in words is "twelve billion, one hundred thirty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 39402 78804 153953 307906 461859 615812 923718 1385577 1693483 1847436 2771154 3386966 5080449 5542308 6773932 10160898 15241347 20321796 30482694 30636647 60965388 61273294 91909941 122546588 183819882 275729823 337003117 367639764 551459646 674006234 1011009351 1102919292 1348012468 2022018702 3033028053 4044037404 6066056106 12132112212