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12601332 = 2234192389
BaseRepresentation
bin110000000100…
…011111110100
3212201012210000
4300010133310
511211220312
61130031300
7212052402
oct60043764
925635700
1012601332
117127627
124278530
1327c2913
141960472
15118dadc
hexc047f4

12601332 has 120 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3763584.

The previous prime is 12601327. The next prime is 12601357. The reversal of 12601332 is 23310621.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 141544 + ... + 141632.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 212601332 is an apocalyptic number.

12601332 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 12601332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

12601332 is an abundant number, since it is smaller than the sum of its proper divisors (23989068).

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

12601332 is a wasteful number, since it uses less digits than its factorization.

12601332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12601332 is about 3549.8354891459. The cubic root of 12601332 is about 232.7048766438.

Adding to 12601332 its reverse (23310621), we get a palindrome (35911953).

The spelling of 12601332 in words is "twelve million, six hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 89 92 108 114 138 162 171 178 207 228 267 276 324 342 356 414 437 513 534 621 684 801 828 874 1026 1068 1242 1311 1539 1602 1691 1748 1863 2047 2052 2403 2484 2622 3078 3204 3382 3726 3933 4094 4806 5073 5244 6141 6156 6764 7209 7452 7866 8188 9612 10146 11799 12282 14418 15219 15732 18423 20292 23598 24564 28836 30438 35397 36846 38893 45657 47196 55269 60876 70794 73692 77786 91314 110538 116679 136971 141588 155572 165807 182628 221076 233358 273942 331614 350037 466716 547884 663228 700074 1050111 1400148 2100222 3150333 4200444 6300666 12601332