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12210012 = 22321771281
BaseRepresentation
bin101110100100…
…111101011100
3211222022222200
4232210331130
511111210022
61113411500
7205532463
oct56447534
924868880
1012210012
11698a621
124109b90
1326b6779
14189b9da
151112bac
hexba4f5c

12210012 has 72 divisors (see below), whose sum is σ = 33257952. Its totient is φ = 3763200.

The previous prime is 12210007. The next prime is 12210019. The reversal of 12210012 is 21001221.

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 = 12209976 and 12210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43312 + ... + 43592.

It is an arithmetic number, because the mean of its divisors is an integer number (461916).

Almost surely, 212210012 is an apocalyptic number.

12210012 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 12210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628976).

12210012 is an abundant number, since it is smaller than the sum of its proper divisors (21047940).

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

12210012 is a wasteful number, since it uses less digits than its factorization.

12210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

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

The square root of 12210012 is about 3494.2827590222. The cubic root of 12210012 is about 230.2707083484.

Adding to 12210012 its reverse (21001221), we get a palindrome (33211233).

The spelling of 12210012 in words is "twelve million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 281 284 306 426 562 612 639 843 852 1124 1207 1278 1686 2414 2529 2556 3372 3621 4777 4828 5058 7242 9554 10116 10863 14331 14484 19108 19951 21726 28662 39902 42993 43452 57324 59853 79804 85986 119706 171972 179559 239412 339167 359118 678334 718236 1017501 1356668 2035002 3052503 4070004 6105006 12210012