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12010000212 = 22327317150343
BaseRepresentation
bin10110010111101101…
…00000111101010100
31010222222221020001200
423023312200331110
5144044030001322
65303423552500
7603422213610
oct131366407524
933888836050
1012010000212
115103371a11
1223b215b730
131195256502
1481d0a2340
154a45988ac
hex2cbda0f54

12010000212 has 72 divisors (see below), whose sum is σ = 34805237376. Its totient is φ = 3420581184.

The previous prime is 12010000133. The next prime is 12010000241. The reversal of 12010000212 is 21200001021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12010000194 and 12010000203.

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, 4713 + ... + 155055.

Almost surely, 212010000212 is an apocalyptic number.

12010000212 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 12010000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402618688).

12010000212 is an abundant number, since it is smaller than the sum of its proper divisors (22795237164).

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

12010000212 is a wasteful number, since it uses less digits than its factorization.

12010000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150677 (or 150672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010000212 its reverse (21200001021), we get a palindrome (33210001233).

The spelling of 12010000212 in words is "twelve billion, ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2853 3804 4438 5706 6657 8876 11412 13314 19971 26628 39942 79884 150343 300686 451029 601372 902058 1052401 1353087 1804116 2104802 2706174 3157203 4209604 5412348 6314406 9471609 12628812 18943218 37886436 47658731 95317462 142976193 190634924 285952386 333611117 428928579 571904772 667222234 857857158 1000833351 1334444468 1715714316 2001666702 3002500053 4003333404 6005000106 12010000212