12145201440 has 48 divisors (see below), whose sum is σ = 38257386048. Its totient is φ = 3238720256.

The previous prime is 12145201417. The next prime is 12145201463. The reversal of 12145201440 is 4410254121.

It is an interprime number because it is at equal distance from previous prime (12145201417) and next prime (12145201463).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12145201440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12650772 + ... + 12651731.

It is an arithmetic number, because the mean of its divisors is an integer number (797028876).

Almost surely, 2^12145201440 is an apocalyptic number.

12145201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12145201440 is an abundant number, since it is smaller than the sum of its proper divisors (26112184608).

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

12145201440 is a wasteful number, since it uses less digits than its factorization.

12145201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302521 (or 25302513 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12145201440 its reverse (4410254121), we get a palindrome (16555455561).

The spelling of 12145201440 in words is "twelve billion, one hundred forty-five million, two hundred one thousand, four hundred forty".