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14112120 = 23351110691
BaseRepresentation
bin110101110101…
…010101111000
3222112222012010
4311311111320
512103041440
61222245520
7230644131
oct65652570
928488163
1014112120
117a69710
1248868a0
132c01489
141c34c88
15138b580
hexd75578

14112120 has 64 divisors (see below), whose sum is σ = 46189440. Its totient is φ = 3420800.

The previous prime is 14112097. The next prime is 14112139. The reversal of 14112120 is 2121141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14112096 and 14112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 6665.

It is an arithmetic number, because the mean of its divisors is an integer number (721710).

Almost surely, 214112120 is an apocalyptic number.

14112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112120 is an abundant number, since it is smaller than the sum of its proper divisors (32077320).

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

14112120 is a wasteful number, since it uses less digits than its factorization.

14112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10716 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 14112120 is about 3756.6101740798. The cubic root of 14112120 is about 241.6559096811.

Adding to 14112120 its reverse (2121141), we get a palindrome (16233261).

It can be divided in two parts, 141121 and 20, that added together give a palindrome (141141).

The spelling of 14112120 in words is "fourteen million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10691 21382 32073 42764 53455 64146 85528 106910 117601 128292 160365 213820 235202 256584 320730 352803 427640 470404 588005 641460 705606 940808 1176010 1282920 1411212 1764015 2352020 2822424 3528030 4704040 7056060 14112120