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12421224 = 2332172517
BaseRepresentation
bin101111011000…
…100001101000
3212101001201100
4233120201220
511134434344
61122121400
7210402324
oct57304150
925331640
1012421224
117014282
1241b0260
13275b94a
141914984
151155569
hexbd8868

12421224 has 24 divisors (see below), whose sum is σ = 33641010. Its totient is φ = 4140384.

The previous prime is 12421223. The next prime is 12421229. The reversal of 12421224 is 42212421.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 101124 = 3510^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12421197 and 12421206.

It is not an unprimeable number, because it can be changed into a prime (12421223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86187 + ... + 86330.

Almost surely, 212421224 is an apocalyptic number.

It is an amenable number.

12421224 is an abundant number, since it is smaller than the sum of its proper divisors (21219786).

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

12421224 is a wasteful number, since it uses less digits than its factorization.

12421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172529 (or 172522 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12421224 is about 3524.3756893952. The cubic root of 12421224 is about 231.5908861976.

Adding to 12421224 its reverse (42212421), we get a palindrome (54633645).

The spelling of 12421224 in words is "twelve million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 172517 345034 517551 690068 1035102 1380136 1552653 2070204 3105306 4140408 6210612 12421224