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12160120 = 2357137317
BaseRepresentation
bin101110011000…
…110001111000
3211212210112211
4232120301320
511103110440
61112344504
7205234150
oct56306170
924783484
1012160120
116956095
1240a5134
132699b4b
141887760
151102eea
hexb98c78

12160120 has 64 divisors (see below), whose sum is σ = 31596480. Its totient is φ = 4125696.

The previous prime is 12160111. The next prime is 12160139. The reversal of 12160120 is 2106121.

12160120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12160120.

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, 38202 + ... + 38518.

It is an arithmetic number, because the mean of its divisors is an integer number (493695).

Almost surely, 212160120 is an apocalyptic number.

12160120 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 12160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798240).

12160120 is an abundant number, since it is smaller than the sum of its proper divisors (19436360).

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

12160120 is a wasteful number, since it uses less digits than its factorization.

12160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12160120 is about 3487.1363609701. The cubic root of 12160120 is about 229.9566395891.

Adding to 12160120 its reverse (2106121), we get a palindrome (14266241).

The spelling of 12160120 in words is "twelve million, one hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 317 548 634 685 959 1096 1268 1370 1585 1918 2219 2536 2740 3170 3836 4438 4795 5480 6340 7672 8876 9590 11095 12680 17752 19180 22190 38360 43429 44380 86858 88760 173716 217145 304003 347432 434290 608006 868580 1216012 1520015 1737160 2432024 3040030 6080060 12160120