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12120066 = 2327432237
BaseRepresentation
bin101110001111…
…000000000010
3211210202121100
4232033000002
511100320231
61111435230
7205006320
oct56170002
924722540
1012120066
116928a92
124085b16
13268484a
141876d10
1510e61e6
hexb8f002

12120066 has 48 divisors (see below), whose sum is σ = 30723264. Its totient is φ = 3380832.

The previous prime is 12120061. The next prime is 12120067. The reversal of 12120066 is 66002121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12120061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (640068).

Almost surely, 212120066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361632).

12120066 is an abundant number, since it is smaller than the sum of its proper divisors (18603198).

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

12120066 is a wasteful number, since it uses less digits than its factorization.

12120066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12120066 is about 3481.3885160953. The cubic root of 12120066 is about 229.7038785211.

Adding to 12120066 its reverse (66002121), we get a palindrome (78122187).

The spelling of 12120066 in words is "twelve million, one hundred twenty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2237 2709 4474 5418 6711 13422 15659 20133 31318 40266 46977 93954 96191 140931 192382 281862 288573 577146 673337 865719 1346674 1731438 2020011 4040022 6060033 12120066