12145253120 has 288 divisors, whose sum is σ = 39064273920. Its totient is φ = 3493969920.

The previous prime is 12145253117. The next prime is 12145253149. The reversal of 12145253120 is 2135254121.

12145253120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12145253120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276541 + ... + 1286019.

It is an arithmetic number, because the mean of its divisors is an integer number (135639840).

Almost surely, 2^12145253120 is an apocalyptic number.

12145253120 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 12145253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532136960).

12145253120 is an abundant number, since it is smaller than the sum of its proper divisors (26919020800).

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

12145253120 is a wasteful number, since it uses less digits than its factorization.

12145253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 12145253120 in words is "twelve billion, one hundred forty-five million, two hundred fifty-three thousand, one hundred twenty".