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12141150 = 2352731373
BaseRepresentation
bin101110010100…
…001001011110
3211211211112020
4232110021132
511102004100
61112121010
7205124640
oct56241136
924754466
1012141150
11694290a
124096166
132691318
141880890
1510ec5a0
hexb9425e

12141150 has 96 divisors (see below), whose sum is σ = 35616768. Its totient is φ = 2678400.

The previous prime is 12141149. The next prime is 12141163. The reversal of 12141150 is 5114121.

It is a happy number.

12141150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32364 + ... + 32736.

It is an arithmetic number, because the mean of its divisors is an integer number (371008).

Almost surely, 212141150 is an apocalyptic number.

12141150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808384).

12141150 is an abundant number, since it is smaller than the sum of its proper divisors (23475618).

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

12141150 is a wasteful number, since it uses less digits than its factorization.

12141150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 12141150 is about 3484.4153024575. The cubic root of 12141150 is about 229.8369985595.

Adding to 12141150 its reverse (5114121), we get a palindrome (17255271).

The spelling of 12141150 in words is "twelve million, one hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 373 434 465 525 651 746 775 930 1050 1085 1119 1302 1550 1865 2170 2238 2325 2611 3255 3730 4650 5222 5425 5595 6510 7833 9325 10850 11190 11563 13055 15666 16275 18650 23126 26110 27975 32550 34689 39165 55950 57815 65275 69378 78330 80941 115630 130550 161882 173445 195825 242823 289075 346890 391650 404705 485646 578150 809410 867225 1214115 1734450 2023525 2428230 4047050 6070575 12141150