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12220000212 = 22373723916451
BaseRepresentation
bin10110110000101111…
…00110011111010100
31011112122002022220110
423120113212133110
5200011310001322
65340325003020
7611552200530
oct133027463724
934478068813
1012220000212
115200965032
122450553470
1311c9902374
1483cd28bc0
154b7c2ac0c
hex2d85e67d4

12220000212 has 96 divisors (see below), whose sum is σ = 33609461760. Its totient is φ = 3382646400.

The previous prime is 12220000181. The next prime is 12220000217. The reversal of 12220000212 is 21200002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734587 + ... + 751037.

It is an arithmetic number, because the mean of its divisors is an integer number (350098560).

Almost surely, 212220000212 is an apocalyptic number.

12220000212 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 12220000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804730880).

12220000212 is an abundant number, since it is smaller than the sum of its proper divisors (21389461548).

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

12220000212 is a wasteful number, since it uses less digits than its factorization.

12220000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16741 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220000212 its reverse (21200002221), we get a palindrome (33420002433).

The spelling of 12220000212 in words is "twelve billion, two hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 239 259 444 478 518 717 777 956 1036 1434 1554 1673 2868 3108 3346 5019 6692 8843 10038 16451 17686 20076 26529 32902 35372 49353 53058 61901 65804 98706 106116 115157 123802 185703 197412 230314 247604 345471 371406 460628 608687 690942 742812 1217374 1381884 1826061 2434748 3652122 3931789 4260809 7304244 7863578 8521618 11795367 12782427 15727156 17043236 23590734 25564854 27522523 47181468 51129708 55045046 82567569 110090092 145476193 165135138 290952386 330270276 436428579 581904772 872857158 1018333351 1745714316 2036666702 3055000053 4073333404 6110000106 12220000212