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12412120 = 235797457
BaseRepresentation
bin101111010110…
…010011011000
3212100121020011
4233112103120
511134141440
61122011304
7210333640
oct57262330
925317204
1012412120
117008456
1241a6b34
132757766
141911520
1511529ea
hexbd64d8

12412120 has 64 divisors (see below), whose sum is σ = 32316480. Its totient is φ = 4202496.

The previous prime is 12412109. The next prime is 12412129. The reversal of 12412120 is 2121421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12412120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26932 + ... + 27388.

It is an arithmetic number, because the mean of its divisors is an integer number (504945).

Almost surely, 212412120 is an apocalyptic number.

12412120 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 12412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158240).

12412120 is an abundant number, since it is smaller than the sum of its proper divisors (19904360).

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

12412120 is a wasteful number, since it uses less digits than its factorization.

12412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12412120 is about 3523.0838763788. The cubic root of 12412120 is about 231.5342917013.

Adding to 12412120 its reverse (2121421), we get a palindrome (14533541).

The spelling of 12412120 in words is "twelve million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 457 485 679 776 914 970 1358 1828 1940 2285 2716 3199 3395 3656 3880 4570 5432 6398 6790 9140 12796 13580 15995 18280 25592 27160 31990 44329 63980 88658 127960 177316 221645 310303 354632 443290 620606 886580 1241212 1551515 1773160 2482424 3103030 6206060 12412120