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12210420 = 22351711971
BaseRepresentation
bin101110100101…
…000011110100
3211222100112210
4232211003310
511111213140
61113413420
7205533615
oct56450364
924870483
1012210420
11698a962
12410a270
1326b6a01
14189bc0c
151112d80
hexba50f4

12210420 has 48 divisors (see below), whose sum is σ = 36203328. Its totient is φ = 3064320.

The previous prime is 12210389. The next prime is 12210449. The reversal of 12210420 is 2401221.

12210420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12210396 and 12210405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4966 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (754236).

Almost surely, 212210420 is an apocalyptic number.

12210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210420 is an abundant number, since it is smaller than the sum of its proper divisors (23992908).

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

12210420 is a wasteful number, since it uses less digits than its factorization.

12210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11998 counting only the distinct ones).

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

The square root of 12210420 is about 3494.3411396142. The cubic root of 12210420 is about 230.2732731671.

Adding to 12210420 its reverse (2401221), we get a palindrome (14611641).

The spelling of 12210420 in words is "twelve million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 11971 23942 35913 47884 59855 71826 119710 143652 179565 203507 239420 359130 407014 610521 718260 814028 1017535 1221042 2035070 2442084 3052605 4070140 6105210 12210420