12145023360 has 256 divisors, whose sum is σ = 43549675200. Its totient is φ = 3238299648.

The previous prime is 12145023313. The next prime is 12145023377. The reversal of 12145023360 is 6332054121.

12145023360 is a `hidden beast` number, since 121 + 4 + 502 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395342 + ... + 1404018.

Almost surely, 2^12145023360 is an apocalyptic number.

12145023360 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 12145023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774837600).

12145023360 is an abundant number, since it is smaller than the sum of its proper divisors (31404651840).

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

12145023360 is an frugal number, since it uses more digits than its factorization.

12145023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8717 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12145023360 its reverse (6332054121), we get a palindrome (18477077481).

The spelling of 12145023360 in words is "twelve billion, one hundred forty-five million, twenty-three thousand, three hundred sixty".