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12132212100 = 22352211319139
BaseRepresentation
bin10110100110010001…
…01101110110000100
31011022111220020020220
423103020231312010
5144321321241400
65323511224340
7606435046521
oct132310556604
934274806226
1012132212100
115166354578
1224270780b0
1311b4676138
148313d6148
154b01897a0
hex2d322dd84

12132212100 has 72 divisors (see below), whose sum is σ = 35120981280. Its totient is φ = 3233556480.

The previous prime is 12132212069. The next prime is 12132212161. The reversal of 12132212100 is 121223121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12132212100.

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, 624331 + ... + 643469.

Almost surely, 212132212100 is an apocalyptic number.

12132212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132212100 is an abundant number, since it is smaller than the sum of its proper divisors (22988769180).

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

12132212100 is a wasteful number, since it uses less digits than its factorization.

12132212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21269 (or 21262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12132212100 its reverse (121223121), we get a palindrome (12253435221).

The spelling of 12132212100 in words is "twelve billion, one hundred thirty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2113 4226 6339 8452 10565 12678 19139 21130 25356 31695 38278 42260 52825 57417 63390 76556 95695 105650 114834 126780 158475 191390 211300 229668 287085 316950 382780 478475 574170 633900 956950 1148340 1435425 1913900 2870850 5741700 40440707 80881414 121322121 161762828 202203535 242644242 404407070 485288484 606610605 808814140 1011017675 1213221210 2022035350 2426442420 3033053025 4044070700 6066106050 12132212100