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12212172 = 2232732343
BaseRepresentation
bin101110100101…
…011111001100
3211222102221200
4232211133030
511111242142
61113425500
7205542000
oct56453714
924872850
1012212172
116991205
12410b290
1326b774b
14189c700
15111364c
hexba57cc

12212172 has 144 divisors (see below), whose sum is σ = 38438400. Its totient is φ = 3259872.

The previous prime is 12212159. The next prime is 12212173. The reversal of 12212172 is 27121221.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (12212173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283983 + ... + 284025.

Almost surely, 212212172 is an apocalyptic number.

12212172 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 12212172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219200).

12212172 is an abundant number, since it is smaller than the sum of its proper divisors (26226228).

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

12212172 is a wasteful number, since it uses less digits than its factorization.

12212172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 12212172 is about 3494.5918216581. The cubic root of 12212172 is about 230.2842861511.

Adding to 12212172 its reverse (27121221), we get a palindrome (39333393).

The spelling of 12212172 in words is "twelve million, two hundred twelve thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 43 46 49 63 69 84 86 92 98 126 129 138 147 161 172 196 207 252 258 276 294 301 322 343 387 414 441 483 516 588 602 644 686 774 828 882 903 966 989 1029 1127 1204 1372 1449 1548 1764 1806 1932 1978 2058 2107 2254 2709 2898 2967 3087 3381 3612 3956 4116 4214 4508 5418 5796 5934 6174 6321 6762 6923 7889 8428 8901 10143 10836 11868 12348 12642 13524 13846 14749 15778 17802 18963 20286 20769 23667 25284 27692 29498 31556 35604 37926 40572 41538 44247 47334 48461 58996 62307 71001 75852 83076 88494 94668 96922 124614 132741 142002 145383 176988 193844 249228 265482 284004 290766 339227 436149 530964 581532 678454 872298 1017681 1356908 1744596 2035362 3053043 4070724 6106086 12212172