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12000378 = 23131371123
BaseRepresentation
bin101101110001…
…110001111010
3211120200102110
4231301301322
511033003003
61105113150
7204000345
oct55616172
924520373
1012000378
116857075
1240287b6
132642220
14184545c
1510c0a03
hexb71c7a

12000378 has 32 divisors (see below), whose sum is σ = 26058816. Its totient is φ = 3662208.

The previous prime is 12000377. The next prime is 12000383. The reversal of 12000378 is 87300021.

12000378 is a modest number, since divided by 378 gives 12 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12000377) 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, 10125 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (814338).

Almost surely, 212000378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029408).

12000378 is an abundant number, since it is smaller than the sum of its proper divisors (14058438).

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

12000378 is a wasteful number, since it uses less digits than its factorization.

12000378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12000378 is about 3464.1561743085. The cubic root of 12000378 is about 228.9452523853.

Adding to 12000378 its reverse (87300021), we get a palindrome (99300399).

The spelling of 12000378 in words is "twelve million, three hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 137 274 411 822 1123 1781 2246 3369 3562 5343 6738 10686 14599 29198 43797 87594 153851 307702 461553 923106 2000063 4000126 6000189 12000378