Search a number
-
+
12001116 = 2231789661
BaseRepresentation
bin101101110001…
…111101011100
3211120201102210
4231301331130
511033013431
61105120420
7204002451
oct55617534
924521383
1012001116
116857686
124029110
13264266a
141845828
1510c0d46
hexb71f5c

12001116 has 48 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 3717120.

The previous prime is 12001111. The next prime is 12001117. The reversal of 12001116 is 61110021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17826 + ... + 18486.

It is an arithmetic number, because the mean of its divisors is an integer number (625590).

Almost surely, 212001116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

12001116 is an abundant number, since it is smaller than the sum of its proper divisors (18027204).

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

12001116 is a wasteful number, since it uses less digits than its factorization.

12001116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

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

The square root of 12001116 is about 3464.2626921179. The cubic root of 12001116 is about 228.9499455190.

Adding to 12001116 its reverse (61110021), we get a palindrome (73111137).

The spelling of 12001116 in words is "twelve million, one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 661 1068 1322 1513 1983 2644 3026 3966 4539 6052 7932 9078 11237 18156 22474 33711 44948 58829 67422 117658 134844 176487 235316 352974 705948 1000093 2000186 3000279 4000372 6000558 12001116