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12122160 = 243553953
BaseRepresentation
bin101110001111…
…100000110000
3211210212110220
4232033200300
511100402120
61111453040
7205015401
oct56174060
924725426
1012122160
11692a616
124087180
13268579b
1418779a8
1510e6b40
hexb8f830

12122160 has 80 divisors (see below), whose sum is σ = 38327904. Its totient is φ = 3168256.

The previous prime is 12122153. The next prime is 12122167. The reversal of 12122160 is 6122121.

It is an interprime number because it is at equal distance from previous prime (12122153) and next prime (12122167).

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 (12122167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12244 + ... + 13196.

Almost surely, 212122160 is an apocalyptic number.

12122160 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 12122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163952).

12122160 is an abundant number, since it is smaller than the sum of its proper divisors (26205744).

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

12122160 is a wasteful number, since it uses less digits than its factorization.

12122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12122160 is about 3481.6892451797. The cubic root of 12122160 is about 229.7171065080.

Adding to 12122160 its reverse (6122121), we get a palindrome (18244281).

The spelling of 12122160 in words is "twelve million, one hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 953 1060 1272 1590 1906 2120 2544 2859 3180 3812 4240 4765 5718 6360 7624 9530 11436 12720 14295 15248 19060 22872 28590 38120 45744 50509 57180 76240 101018 114360 151527 202036 228720 252545 303054 404072 505090 606108 757635 808144 1010180 1212216 1515270 2020360 2424432 3030540 4040720 6061080 12122160