12045123552000 has 3456 divisors, whose sum is σ = 54961949952000. Its totient is φ = 2304884736000.

The previous prime is 12045123551969. The next prime is 12045123552047. The reversal of 12045123552000 is 25532154021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34513247826 + ... + 34513248174.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342000).

Almost surely, 2^{12045123552000} is an apocalyptic number.

12045123552000 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 12045123552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480974976000).

12045123552000 is an abundant number, since it is smaller than the sum of its proper divisors (42916826400000).

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

12045123552000 is a wasteful number, since it uses less digits than its factorization.

12045123552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 12045123552000 in words is "twelve trillion, forty-five billion, one hundred twenty-three million, five hundred fifty-two thousand".