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12124224 = 263273197
BaseRepresentation
bin101110010000…
…000001000000
3211210222022100
4232100001000
511100433344
61111510400
7205024410
oct56200100
924728270
1012124224
116931122
124088400
1326866c8
141878640
1510e7569
hexb90040

12124224 has 168 divisors, whose sum is σ = 41420288. Its totient is φ = 3317760.

The previous prime is 12124201. The next prime is 12124241. The reversal of 12124224 is 42242121.

It is a tau number, because it is divible by the number of its divisors (168).

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 junction number, because it is equal to n+sod(n) for n = 12124197 and 12124206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124944 + ... + 125040.

Almost surely, 212124224 is an apocalyptic number.

12124224 is a gapful number since it is divisible by the number (14) 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 12124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144).

12124224 is an abundant number, since it is smaller than the sum of its proper divisors (29296064).

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

12124224 is a wasteful number, since it uses less digits than its factorization.

12124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

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

The square root of 12124224 is about 3481.9856404069. The cubic root of 12124224 is about 229.7301434915.

Adding to 12124224 its reverse (42242121), we get a palindrome (54366345).

The spelling of 12124224 in words is "twelve million, one hundred twenty-four thousand, two hundred twenty-four".