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12125652 = 22371121193
BaseRepresentation
bin101110010000…
…010111010100
3211211001021020
4232100113110
511101010102
61111521140
7205031520
oct56202724
924731236
1012125652
116932200
1240891b0
132687256
141878d80
1510e7bbc
hexb905d4

12125652 has 72 divisors (see below), whose sum is σ = 35571648. Its totient is φ = 3146880.

The previous prime is 12125651. The next prime is 12125657. The reversal of 12125652 is 25652121.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125651) 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 23 ways as a sum of consecutive naturals, for example, 9568 + ... + 10760.

Almost surely, 212125652 is an apocalyptic number.

12125652 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 12125652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17785824).

12125652 is an abundant number, since it is smaller than the sum of its proper divisors (23445996).

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

12125652 is a wasteful number, since it uses less digits than its factorization.

12125652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 12125652 is about 3482.1906897814. The cubic root of 12125652 is about 229.7391623991.

Adding to 12125652 its reverse (25652121), we get a palindrome (37777773).

The spelling of 12125652 in words is "twelve million, one hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1193 1452 1694 2386 2541 3388 3579 4772 5082 7158 8351 10164 13123 14316 16702 25053 26246 33404 39369 50106 52492 78738 91861 100212 144353 157476 183722 275583 288706 367444 433059 551166 577412 866118 1010471 1102332 1732236 2020942 3031413 4041884 6062826 12125652