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12124168 = 2372157197
BaseRepresentation
bin101110010000…
…000000001000
3211210222020021
4232100000020
511100433133
61111510224
7205024300
oct56200010
924728207
1012124168
116931081
124088374
132686684
141878600
1510e752d
hexb90008

12124168 has 48 divisors (see below), whose sum is σ = 26747820. Its totient is φ = 5136768.

The previous prime is 12124163. The next prime is 12124169. The reversal of 12124168 is 86142121.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 550564 = 3402^2 + 742^2 .

It is not an unprimeable number, because it can be changed into a prime (12124163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61446 + ... + 61642.

Almost surely, 212124168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373910).

12124168 is an abundant number, since it is smaller than the sum of its proper divisors (14623652).

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

12124168 is a wasteful number, since it uses less digits than its factorization.

12124168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 12124168 is about 3481.9775990089. The cubic root of 12124168 is about 229.7297897944.

Adding to 12124168 its reverse (86142121), we get a palindrome (98266289).

The spelling of 12124168 in words is "twelve million, one hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 197 314 392 394 628 788 1099 1256 1379 1576 2198 2758 4396 5516 7693 8792 9653 11032 15386 19306 30772 30929 38612 61544 61858 77224 123716 216503 247432 433006 866012 1515521 1732024 3031042 6062084 12124168