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12125040 = 2435192659
BaseRepresentation
bin101110010000…
…001101110000
3211211000102120
4232100031300
511101000130
61111514240
7205026654
oct56201560
924730376
1012125040
1169317a4
124088980
132686ba5
141878a64
1510e7910
hexb90370

12125040 has 80 divisors (see below), whose sum is σ = 39580800. Its totient is φ = 3062016.

The previous prime is 12125033. The next prime is 12125041. The reversal of 12125040 is 4052121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231 + ... + 5889.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 212125040 is an apocalyptic number.

12125040 is a gapful number since it is divisible by the number (10) 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 12125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19790400).

12125040 is an abundant number, since it is smaller than the sum of its proper divisors (27455760).

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

12125040 is a wasteful number, since it uses less digits than its factorization.

12125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12125040 is about 3482.1028129566. The cubic root of 12125040 is about 229.7352972397.

Adding to 12125040 its reverse (4052121), we get a palindrome (16177161).

The spelling of 12125040 in words is "twelve million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2659 4560 5318 7977 10636 13295 15954 21272 26590 31908 39885 42544 50521 53180 63816 79770 101042 106360 127632 151563 159540 202084 212720 252605 303126 319080 404168 505210 606252 638160 757815 808336 1010420 1212504 1515630 2020840 2425008 3031260 4041680 6062520 12125040